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

Answer:

The correct option is D.

Step-by-step 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 $\frac{26}{100}$.

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

$P=\frac{26}{100}\times \frac{26}{100}$

$P=0.0676$

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.

$P=0.0676\times 100=6.76\approx 7\%$

Therefore the correct option is D.

Answer 2

I believe the answer is C