Question

Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?

Answer 1

Answer:

120 home runs.

Step-by-step explanation:

Let x be the number of home runs after playing 1272 games.

We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.

Let us find the probability of hitting home runs in next game.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{ Total number of possible outcomes}}$

$\text{Probability of hitting home run in next game}=\frac{15}{159}$

To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

$\frac{x}{1272}=\frac{15}{159}$

Let us multiply both sides of our equation by 1272.

$\frac{x}{1272}*1272=\frac{15}{159}*1272$

$x=15*8$  

$x=120$    

Therefore, Derek Jeter will hit approximately 120 home runs in his career.