Question

4.
A bag contains 3 red, 3 white and 3 green balls of the same size, one ball is taken out of the bag
at random, what is the probability that the ball picked up is (i) red (ii) white or green.
Attempt any twocul
word​

Answer 1

Step-by-step explanation:

Let the three red balls be R1, R2, R3, three white balls be W1, W2, W3 and three green balls be G1 , G2 , G3 . Sample space, S = {R1, R2, R3, W1, W2, W3,G1 , G2 , G3} ∴ n(S) = 9 i. Let A be the event that the ball drawn is red. ∴ A = {R1 , R2 , R3 } ∴ n(A) = 3 ∴ P(A) = n(A)n(S)n(A)n(S) = 3/9 ∴ P(A) = 1/3 ii. Let B be the event that the ball drawn is not red. B = {W1,W2,W3,G1,G2,G3} ∴ n(B) = 6 ∴ P(B) = n(B)n(S)n(B)n(S) = 6/9 ∴ P(B) = 2/3 iii. Let C be the event that the ball drawn is red or white. ∴ C = {R1, R2, R3 ,W1, W2, W3 } ∴ n(C) = 6 ∴ P(C) = n(C)n(S)n(C)n(S) = 6/9 ∴ P(C) = 2/3 ∴ P(A) = 1/3; ∴ P(B) = 2/3; ∴ P(C) = 2/3Read more on Sarthaks.com - https://www.sarthaks.com/847618/bag-contains-white-green-balls-ball-taken-the-bag-random-what-probability-that-ball-drawn

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