Question

The estimated probability of a football player scoring a touchdown during a particular game is 26%. If several simulations of the football player playing two games were performed, in what percentage of the simulations would the football player be most likely to get a touchdown in each of the two games?

A. 26%
B. 15%
C. 52%
D. 7%

Answer 1

I believe the answer is C

Answer 2

The correct option is D.

Explanation:

It is given that the estimated probability of a football player scoring a touchdown during a particular game is 26%.

The probability of a football player scoring a touchdown during a particular game is
`(26)/(100)`.

We have to find the percentage of the simulations would the football player be most likely to get a touchdown in each of the two games.

The probability of a football player scoring a touchdown during two games is

`P=(26)/(100)* (26)/(100)`

`P=0.0676`

Multiply the probability by 100 to find the percentage of the simulations would the football player be most likely to get a touchdown in each of the two games.

`P=0.0676* 100=6.76\approx 7\%`

Therefore the correct option is D.