Question

A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 80 times, with replacement, predict the number of times the ball would be the color green. A.The color green would be chosen exactly 20 times. B. The color green would be chosen roughly 8 times, but probably not exactly 8 times. C.The color green would be of chosen roughly 20 times, but probably not exactly 20 times. D. The color green would be chosen roughly 10 times.

Answer 1

Answer: If a ball is chosen at random 80 times, with replacement, and there are an equal number of blue, green, pink, and red balls, then the probability of choosing a green ball each time is 1/4. Over many trials, the number of times a green ball is chosen would be roughly proportional to the probability of choosing a green ball, so we would expect the green ball to be chosen about 80 * (1/4) = 20 times.

However, since this is a random process, it is unlikely that the green ball will be chosen exactly 20 times. It is more likely that the actual number of green balls chosen will be slightly different, possibly higher or lower, than 20. So the answer is C: The color green would be chosen roughly 20 times, but probably not exactly 20 times.

Explanation: