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:

$P(one\ goal)=\dfrac{4}{7}$

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,

$P(Two\ goals)=P(one\ goal)\times P(one\ goal)$

$P(Two\ goals)=\dfrac{4}{7}\times \dfrac{4}{7}$

$P(Two\ goals)=\dfrac{16}{49}$

Therefore, the required probability is $\dfrac{16}{49}$.