Question

Statistics show that a certain soccer player has a 63% chance of missing the goal each time she shoots. If this player shoots twice, the exact probability that he scores a goal both times is __%

Answer 1

The answer is 13.69% I'm currently taking the test of Plato and this was correct for me.

Answer 2

13.69%

Explanation:

Given :Statistics show that a certain soccer player has a 63% chance of missing the goal each time she shoots

To Find : If this player shoots twice, the exact probability that he scores a goal both times is __%

Solution:

Since soccer player has a 63% chance of missing the goal each time she shoots.

probability of missing the goal is 63/100=0.63

since the sum of probabilities = 1

Thus 1 = probability of missing the goal +probability of scoring the goal

1 = 0.63+probability of scoring the goal

1-0.63 = probability of scoring the goal

0.37 =probability of scoring the goal

If this player shoots twice, the exact probability that he scores a goal both times is 0.37*0.37 = 0.1369

In percent = 0.1369*100=13.69%

Thus the exact probability that he scores a goal both times is 13.69%