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In an entrance test there are multiple choice questions, there are four options for each question, of which only one is correct. The probability that a student knows the answer of a question is 90%. If he gets the correct answer to a question, then what is probability that he was guessing?
#probability question nda
#nda1 2026 probability questions
Transcript
00:00Yeah, I have a question that I have given a test,
00:03or an exam in zip.
00:05MCQ type exam.
00:07Four options of exam.
00:09And a student,
00:11he has a question of answer.
00:13He has a probability of 90%
00:15and his probability of 10%
00:19We have given a question of answer,
00:23which is right.
00:25Or he has asked,
00:26which is the probability of the answer.
00:29So, probability is equal to favorable outcome upon total outcome.
00:35Favorable outcome,
00:36yarni ki,
00:37рдЙрд╕рдиреЗ рддреБрдХреНрдХрд╛ рд▓рдЧрд╛рдпрд╛ рд╣реЛ.
00:38To рддреБрдХреНрдХрд╛ рд▓рдЧрд╛рдиреЗ рдХреА probability рдХреНрдпрд╛ рд╣реИ?
00:4190% рдЙрд╕реНрддреЗ рдЖрдиреЗ рдХреЗ,
00:43yarni ki, 10% рдЙрд╕реНрддреЗ рдирд╣реАрдВ рдЖрдиреЗ рдХреА.
00:45To рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ,
00:4610 by total percent рдХрд┐рддрдиреА рд╣реИ?
00:49100.
00:50Yarni ki, 10 by 100 into
00:53рддреБрдХреНрдХрд╛ рд▓рдЧрд╛рдиреЗ рдХреА,
00:54yarni ki, guess рдХрд╣рдиреЗ рдХреА probability.
00:56Guess рдХрд┐рдпрд╛ рд╣реЛ,
00:58рдФрд░ рд╕рд╣реА,
00:58by.
00:59Yarni ki,
01:004 option рдореЗрдВ рд╕реЗ,
01:01рдХрд┐рд╕реА рднреА A рдХреЗ рд╕рд╣реА рд╣реЛрдиреЗ рдХреА probability,
01:031 by 4.
01:05First case A true,
01:07рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ case B true.
01:09рдЗрд╕ рдЗрди рдЯрд╛рдЗрдк рдХреА cases рдореЗрдВ,
01:11рд╣рдо рдЗрди probability рдХреЛ multiply рдХрд░рддреЗ.
01:14A рдХреА probability multiplied by B рдХреА probability.
01:16For example,
01:18рдХрд┐ A B рд╣реЛрдХрд░ рд╣реЛ,
01:19рдФрд░ B B,
01:20рдРрд╕реЗ cases рдореЗрдВ probability multiply рд╣реЛрддреЗ рд╣реИ,
01:23centrally.
01:25рдЕрдм рдЗрд╕рд╕реЗ divided by,
01:27рдЗрд╕рд╕реЗ simplify рдХрд░реЗрдВрдЧреЗ,
01:29рддреЛ рдпрд╣ 10 upon 100 рдмрди рдЬрд╛рдПрдЧрд╛,
01:301 upon 10 into 1 upon 4.
01:32рдЯреЛрдЯрд▓ рдЖрдЙрдЯрдХрдо,
01:34рддреЛ answer рдЗрд╕рдиреЗ рдпрд╣ рддреЛ рдмрддрд╛рдИ рд░рд┐рдпрд╛ рд╣реИ рдХрд┐ correct рд╣реИ,
01:37рддреЛ рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ correct рд╣реЛрдиреЗ рдХреА probability рд╣реИ,
01:40рдкрд╣рд▓рд╛ рдХрд┐ рдЙрд╕рд╕реЗ рдЕрдВрд╕рд░ рдЖрдЬрд╛ рдерд╛,
01:429 by 10 plus,
01:44рджреВрд░реНрдЬрд╛ рдЙрд╕рдиреЗ рддреБрдХреНрдХрд╛ рд▓рдЧрд╛рдпрд╛,
01:46рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ correct рд╣реЛ рдЧрдпрд╛,
01:48рддреЛ рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ рдпрд╣ рд╣реЛ рдЧрдпрд╛,
01:49рдЯреЛрдЯрд▓ рдЖрдЙрдЯрдХрдо рдЬрд┐рддрдореЗ answer correct рд╣реИ,
01:52рддреЛ рдлрд┐рд░ рдмрд╛рдж рдореЗрдВ probability рдЖ рдЬрд╛рдПрдЧреА,
01:541 upon 40 divided by рдЗрд╕рд╕реЗ рдПрдбрд╝ рдХрд┐рдпрд╛ рд╣реЛ,
01:589 upon 10 plus 1 upon 40,
02:02LCM рд▓реЗрдХреЗ solve рдХрд░реЗрдВрдЧреЗ,
02:041 upon 40 divided by 9,
02:084,36 plus 1,
02:0937 upon 40,
02:12рдЗрд╕рд╕реЗ рдпрд╣ cancel рд╣реЛ рдЧрдпрд╛,
02:13рдпрд╛рдирд┐ рдХрд┐ рдпрд╣ рдЖрдЧреЗ,
02:141 upon 37 probability рд╣рдорд╛рд░рд╛ answer,

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