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P(A)  A ও B স্বাধীন হলে, P(AUB) এর মান কত?

Created: 2 years ago | Updated: 3 months ago
Updated: 3 months ago
বিসিএস প্রিলিমিনারি + রিটেন টেস্ট ৪৪ তম বিসিএস প্রিলিমিনারি টেস্ট (27-05-2022) গণিত সেট (Set)
Description
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Best Ans:
1 year ago
INUN
P(AUB) = P(A)+P(B)-P(A).P(B)=13+34-13×34=4+9-312=1012=56
2 years ago
Md Azizur Rahman
FOUNDER OF SATT

গণিত

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Content updated By
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Promotion
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      uri
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      31 statements were executed4.93ms
      • QuestionController.php#150debugerror_satt130μsselect `id`, `view_count`, `main_category_id` from `questions` where `questions`.`id` = '81746' and `questions`.`deleted_at` is null limit 1
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:150
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:145
        • app/Http/Controllers/Academy/QuestionController.php:66
      • QuestionController.php#190debugerror_satt420μsupdate `questions` set `view_count` = `view_count` + 1 where `id` = 81746
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        • 0: 81746
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:190
        • vendor/laravel/framework/src/Illuminate/Cache/Lock.php:95
        • app/Http/Controllers/Academy/QuestionController.php:187
        • app/Http/Controllers/Academy/QuestionController.php:79
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • QuestionController.php#256debugerror_satt180μsselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `meta_og_image`, `meta_og_title`, `meta_keyword`, `created_at`, `updated_at`, exists(select * from `review_contents` where `questions`.`id` = `review_contents`.`reviewable_id` and `review_contents`.`reviewable_type` = 'App\\Models\\Question') as `review_content_exists` from `questions` where `id` = '81746' and `questions`.`deleted_at` is null limit 1
        Bindings
        • 0: App\Models\Question
        • 1: 81746
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt160μsselect `id`, `question_id`, `option_1`, `option_2`, `option_3`, `option_4`, `option_5`, `image_option`, `image_question`, `answer` from `question_options` where `question_options`.`question_id` in (81746) and `question_options`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt130μsselect `id`, `title`, `passage` from `passages` where `passages`.`id` in (0) and `passages`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt110μsselect `id`, `name`, `slug`, `meta_og_image` from `sub_categories` where `sub_categories`.`id` in (1067) and `sub_categories`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt120μsselect `id`, `name`, `des_updated_by`, `des_added_by`, `link_subject_id`, `slug` from `subjects` where `subjects`.`id` in (3) and `subjects`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt100μsselect `id`, `name`, `avatar` from `users` where `users`.`id` in (11269) and `users`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt130μsselect `id`, `name`, `avatar` from `users` where `users`.`id` in (82935) and `users`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt120μsselect `id`, `description`, `subject_id` from `subject_descriptions` where `subject_descriptions`.`subject_id` in (3) and `subject_descriptions`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt180μsselect `subjects`.`id`, `subjects`.`name`, `subjects`.`slug`, `subjectables`.`subjectable_id` as `pivot_subjectable_id`, `subjectables`.`subject_id` as `pivot_subject_id`, `subjectables`.`subjectable_type` as `pivot_subjectable_type`, `subjectables`.`created_user_id` as `pivot_created_user_id`, `subjectables`.`deleted_at` as `pivot_deleted_at`, `subjectables`.`status` as `pivot_status`, `subjectables`.`created_at` as `pivot_created_at`, `subjectables`.`updated_at` as `pivot_updated_at` from `subjects` inner join `subjectables` on `subjects`.`id` = `subjectables`.`subject_id` where `subjectables`.`subjectable_id` in (81746) and `subjectables`.`subjectable_type` = 'App\\Models\\Question' and `subjects`.`deleted_at` is null
        Bindings
        • 0: App\Models\Question
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt110μsselect * from `vote_statistics` where `vote_statistics`.`question_id` in (81746)
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt230μsselect * from `descriptions` where `descriptions`.`descriptionable_id` in (81746) and `descriptions`.`descriptionable_type` = 'App\\Models\\Question' and `status` in ('approve', 'active') and `descriptions`.`deleted_at` is null order by `vote` desc
        Bindings
        • 0: App\Models\Question
        • 1: approve
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt110μsselect `id`, `name`, `avatar` from `users` where `users`.`id` in (1, 53823) and `users`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt90μsselect `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (81746) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
        Bindings
        • 0: App\Models\Question
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt80μsselect `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (81746) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
        Bindings
        • 0: App\Models\Question
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt80μsselect `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (81746) and `user_id` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#451debugerror_satt740μsselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `created_at`, `updated_at` from `questions` where `id` in (81746, 77255, 77260, 77258, 7452, 25190, 25705, 26761, 26782, 26790, 26795, 27111, 27642, 29251, 30139, 30284, 30637, 31085, 31280, 31636, 41655, 41799, 41805, 47891, 50519, 53031, 53108, 53136, 53279, 53344, 53436, 54102, 54735, 55105, 55120, 56669, 56724, 56844, 58598, 60588, 65178, 237535, 238338, 25692, 35905, 42742, 51996, 53382, 53629, 53703, 53767, 54574, 55170, 55250, 55904, 56599, 56601, 60345, 62335, 62782, 64755, 73573, 73900, 74299, 77426, 78428, 57975, 57996, 53268, 55121, 53885, 55520, 55215, 58172, 17947, 59217, 80637, 8928, 13914, 15560, 18416, 25301, 25302, 28105, 28223, 28675, 28792, 30244, 31120, 31129, 31312, 31535, 31713, 32040, 32183, 32185, 32206, 32441, 32781, 33288, 33608, 33776, 34317, 34337, 34588, 34755, 34768, 34939, 34955, 35123, 35384, 35393, 35899, 36005, 36082, 36112, 36933, 37484, 37490, 37546, 37739, 38707, 38904, 39160, 40055, 40788, 40798, 40799, 41198, 41335, 41569, 41812, 41820, 41827, 41828, 42808, 42809, 44427, 44586, 44645, 45301, 45599, 46381, 46382, 47055, 47201, 47337, 47501, 47576, 47585, 47799, 47805, 47806, 48259, 48727, 48806, 49361, 52130, 52449, 53822, 53983, 57052, 57386, 60818, 61040, 61994, 62009, 62523, 62591, 62611, 62951, 63287, 63710, 64462, 64480, 68780, 69220, 69407, 72018, 72029, 75685, 77430, 78275, 80843, 82947, 25311, 25374) and `id` != 81746 and `questions`.`deleted_at` is null order by `created_at` desc limit 6
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
      • QuestionController.php#451debugerror_satt200μsselect * from `question_options` where `question_options`.`question_id` in (78428, 80637, 80843, 82947, 237535, 238338) and `question_options`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
      • QuestionController.php#451debugerror_satt100μsselect `id`, `name`, `slug` from `subjects` where `subjects`.`id` in (3) and `subjects`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
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