Ex 13.2, 4 - Chapter 13 Class 12 Probability
Last updated at April 16, 2024 by Teachoo
Independent events
Ex 13.2, 6
Ex 13.2, 10 Important
Ex 13.2, 5
Example 10
Example 11 Important
Example 12 Important
Ex 13.2, 15 (i)
Ex 13.2, 8
Ex 13.2, 7 Important
Ex 13.2, 11 (i)
Ex 13.2, 4 You are here
Ex 13.2, 13 Important
Ex 13.2, 14 Important
Ex 13.2, 18 (MCQ) Important
Example 13 Important
Example 14 Important
Independent events
Last updated at April 16, 2024 by Teachoo
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