Question

Jessie is a goalie for her soccer team. She averages 3 saves out of 5 attempts. What is the probability Jessie will save the next 3 goals attempted against her?

Answer 1

The probability that Jessie will save the next 3 goals attempted against her is approximately 0.216 or 21.6%.

How did we get the value?

If Jessie averages 3 saves out of 5 attempts, we can express this probability as a fraction. The probability of Jessie saving a goal is 3/5.

Now, to find the probability of Jessie saving the next 3 goals attempted against her, we can multiply the probability of saving one goal by itself three times (since each attempt is independent):

`\[ P(\text{saving 3 goals}) = \left((3)/(5)\right)^3 \]`

Calculating this gives:

`\[ P(\text{saving 3 goals}) = \left((3)/(5)\right) * \left((3)/(5)\right) * \left((3)/(5)\right) \]`

`\[ P(\text{saving 3 goals}) = (27)/(125) \approx 0.216\]`

So, the probability that Jessie will save the next 3 goals attempted against her is approximately 0.216 or 21.6%.