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 $\mathrm{P}$(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

Probability is$\frac{1720}{4189}$,option c is correct.

Step-by-step solution

Given information 

Probability of total hits by Ty Cobb is $4189$.

Probability of hit was a home run is $1720$.

Calculation for probability

Probability is,

$\mathrm{P}(\mathrm{hit}\mathrm{was}\mathrm{made}\mathrm{by}\mathrm{Ty}\mathrm{Cobb}|\mathrm{The}\mathrm{hit}\mathrm{was}\mathrm{a}\mathrm{Home}\mathrm{run})=\frac{\mathrm{total}\mathrm{hit}\mathrm{of}\mathrm{Ty}\mathrm{Cobb}}{\mathrm{Total}\mathrm{hit}\mathrm{of}\mathrm{home}\mathrm{run}}$

$=\frac{1720}{4189}$