Chapter 12, Problem 17SGR

To determine

The probability that she does not get a hit in five consecutive at bats.

Answer to Problem 17SGR

The probability is 0.1.

Explanation of Solution

Given:

Jillian gets a hit 65% of the time she is at bat.

Evaluating the probability that the card is Jack and given that it is not ace, two or three is:

  $\begin{array}{l}P\left(\text{jack|not ace, two or three}\right)=\frac{P\left(\text{jack and not ace, two or three}\right)}{P\left(\text{not ace, two or three}\right)}\\ =\frac{\frac{4}{52}}{\frac{40}{52}}\\ =\frac{1}{10}\\ =0.1\end{array}$

Therefore, the probability is 0.1.