Question

Ricky made approximately 4 goal points for every 7 of his shots on goal. What is the probability that Ricky would make 2 goal points on two shots in a row during the season?

Answer 1

Given:

Ricky made approximately 4 goal points for every 7 of his shots on goal.

To find:

The probability that Ricky would make 2 goal points on two shots in a row during the season.

Solution:

Using the given information, the probability of a goal point on one shot is:

`P(one\ goal)=(4)/(7)`

We need to find the probability that Ricky would make 2 goal points on two shots in a row during the season.

Since the both shots are independent events therefore,

`P(Two\ goals)=P(one\ goal)* P(one\ goal)`

`P(Two\ goals)=(4)/(7)* (4)/(7)`

`P(Two\ goals)=(16)/(49)`

Therefore, the required probability is
`(16)/(49)`.