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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 13.2, 4 A fair coin and an unbiased die are tossed. Let A be the event ‘head appears on the coin’ and B be the event ‘3 on the die’. Check whether A and B are independent events or not. A fair coin and unbiased die are tossed S = {(H, 1), (H, 2), ……….., (H, 6), (T, 1), (T, 2), ………….., (H, 6)} Given events A : head appears on the coin B : 3 on the die Event A A = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)} P(A) = 6/12 = 1/2 Event B B = {(H, 3), (T, 3)} P(B) = 2/12 = 1/6 Now, A ∩ B = {(H, 3)} So, P(A ∩ B) = 1/12 Now, P(A) . P(B) = 1/2 × 1/6 = 1/12 = P(A ∩ B) Since, P(A ∩ B) = P(A) . P(B), Therefore, A & B are independent events

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.