Question

A softball player has a p=.29 chance of success on any given plate appearance suppose the player has 4 independent plate appearances. what is the probability the player will make at least one success during the 4 independent plate appearances ?

Answer 1

The probability that the softball player will make at least one success during the 4 independent plate appearances is approximately 0.76.

Step-by-step explanation:

To find the probability that a softball player will make at least one success during 4 independent plate appearances, we can use the complement rule. The complement rule states that the probability of an event not happening is equal to 1 minus the probability of the event happening. In this case, the event is the player making a success on each plate appearance.

Since each plate appearance is independent, the probability of the player making a success on one plate appearance is p = 0.29. Therefore, the probability of the player not making a success on one plate appearance is 1 - 0.29 = 0.71.

The probability of the player not making a success on any of the 4 plate appearances is (0.71)^4 = 0.2401. Therefore, the probability of the player making at least one success during the 4 independent plate appearances is 1 - 0.2401 = 0.7599, or approximately 0.76.