only question 13, please. The next three questions (12 to 14) refer to the follo

Question

only question 13, please.

The next three questions (12 to 14) refer to the following: We have four boxes, each of which contains 10 coloured balls: . Box 1 contains 4 red balls, 5 green balls and 1 yellow ball. . Box 2 contains 3 red balls, 5 green balls and 2 yellow balls. Box 3 contains 2 red balls, 5 green balls and 3 yellow balls. e Box 4 contains 1 red ball, 5 green balls and 4 yellow balls 12. If we randomly select one ball from each box, what is the probability of selecting exactly one yellow ball? (A) 0.44 (B) 0.40 (C) 0.36 (D) 0.48 (E) 0.32 13. If we randomly select one ball from each box, what is the probability of selecting at least one yellow ball? (A) 0.5 (B) 0.6 (C) 0.7 (D) 0.8 (E) 0.9

Explanation / Answer

P(atleast one yellow ball) = 1-P(no yellow ball)

P(no yellow ball from box 1) = 1-0.1 = 0.9

P(no yellow ball from box 2) = 1-0.2 = 0.8

P(no yellow ball from box 3) = 1-0.3 = 0.7

P(no yellow ball from box 4) = 1-0.4 = 0.6

P(no yellow ball) = 0.9*0.8*0.7*0.6 = 0.3024

=> P(atleast one yellow ball) = 1 - 0.3024 = 0.6976 = 0.7

So, Answer is option C

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