Question

Interpret each of the following probability statements, using the frequentist interpretation of probability.

(a). The probability is 0.487 that a newborn baby will be a girl.

(b). The probability of a single ticket winning a prize in the Powerball lottery is 0.031.

Short answer

Part (a) According to the frequentist interpretation of probability, there will be 48.7 percent of girls in the group.

Part (b) In the group, there will be 3.1 percent of single tickets.

Step-by-step solution

Part (a) Step 1. Given information.

The given statement is:

Interpret each of the following probability statements, using the frequentist interpretation of probability.

"The probability is 0.487 that a newborn baby will be a girl."

Part (a) Step 2. Interpret the probability statement, using the frequentist interpretation of probability.

"The probability is 0.487 that a newborn baby will be a girl."

A girl in a group of newborn babies has a probability of 0.487.

According to the frequentist interpretation of probability, there will be girls among a great percentage of newborns.

Part (b) Step 1. Find the frequentist interpretation of probability, if the probability of a single ticket winning a prize in the Powerball lottery is 0.031.

The likelihood of a single ticket winning a prize in the power ball lottery is 0.031.

This suggests that there will be 3.1 percent of single tickets in a group with a large number of tickets winning a reward.