A bin in the school gymnasium holds different colored balls. A ball is picked at random and then replaced. The probability of picking a green ball is 0.5, the probability of picking a blue ball is 0.4, and the probability of picking a red ball is 0.1. If a ball is picked and replaced 140 times, how many times should you expect a blue ball to be picked?

Question

Mathematics

Jaylon Quinn

25 May, 17:00

A bin in the school gymnasium holds different colored balls. A ball is picked at random and then replaced. The probability of picking a green ball is 0.5, the probability of picking a blue ball is 0.4, and the probability of picking a red ball is 0.1. If a ball is picked and replaced 140 times, how many times should you expect a blue ball to be picked?

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Julianne Hansen · Answer 1

For this item, the number of times that we should expect that a blue ball is picked should be the product of the number of times a ball is picked and replaced (which is equal to 140) and the probability of picking a blue ball (which is equal to 0.4)

= (140) (0.4) = 56

Therefore, we should expect that the blue ball will be picked 56 times.