Question

Diego predicts that his basketball team has a 23 probability of winning each of their next 7 games. Select two ways Diego could accurately simulate the number of games his team will win.

Answer 1

(c) and (e)

Explanation:

Given

`Pr = (2)/(3)`

Required

Which 2 options can be used to simulate the given probability.

The two options are (c) and (e)

The proof is as follows;

Option (c)

We have:

`Rolls = 7`

A cube has 6 faces. So:

`S = \{1,2,3,4,5,6\}`

`n(S)=6`

The probability of getting ones, twos, threes, and fours is:

`Pr = (n(1,2,3,4))/(n(S))`

In:
`S = \{1,2,3,4,5,6\}`

`n(1,2,3,4) = 4`

So:

`Pr = (4)/(6)`

Simplify

`Pr = (2)/(3)`

Option (e)

We have:

`White = 10`

`Red = 5`

`Count = 7`

Record the probability of white.

This is calculated as:

`Pr = (White)/(Total)`

`Pr = (White)/(White + Red)`

`Pr = (10)/(10+5)`

`Pr = (10)/(15)`

Simplify

`Pr = (2)/(3)`