Question

Use the following information to answer the next two exercises. The table of data obtained from www.baseball-almanac.com shows hit information for four well-known baseball players. Suppose that one hit from the table is randomly selected.

Find P(hit was made by Ty Cobb|The hit was a Home Run).

a. $\frac{4189}{12351}$

b. $\frac{114}{1720}$

c. $\frac{1720}{4189}$

d. $\frac{114}{12351}$

Short answer

b.$\frac{114}{1720}$

Step-by-step solution

Given information

The table of data obtained from www.baseball-almanac.com shows hit information for four well-known baseball players. Suppose that one hit from the table is randomly selected.

Explanation

The probability of hit was made by Ty Cobb which was a Home Run:

$$\begin{gathered} P(hitwasmadebyTyCobbwhichwasaHomeRun)=\frac{totalhitwasmadebyTyCobbwasaHomeRun}{TotalhitwasmadebyallplayerswasaHomeRun} \\ P(hitwasmadebyTyCobbwhichwasaHomeRun)=\frac{114}{1720} \end{gathered}$$