### Question

In the context of this exercise, what calculation was used to determine the probability of making an exact number of baskets?

### Answer

The calculation used is known as the **Probability Mass Function**. This gives us the probability of getting exactly “r” successes in “n” trials.

The calculation is as follows,

`Probablity of r = nCr * (p^r) * (1-p)^(n-r)`

p = Probability of making a basket.

n = number of trials.

r = number of specific events to obtain.

This gives us the `Probability of making exactly "r" out of "n" baskets`

.

`nCr`

is the combination, or “n choose r” operation. The formula for this is

`n! / (r! * (n - r)!)`

As an example,

```
'''
Given the probability of making a basket as: 0.5.
What is the probability of making exactly 2 out of 5 baskets?
Plugging this into our equation, we have
(5 C 2) * (0.5^2) * (1-0.5)^(5-2)
= 10 * 0.25 * 0.125
= 0.31
'''
```

Feel free to try out different values in the exercise, and see how this works!