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

Answer:

(c) and (e)

Step-by-step explanation:

Given

$Pr = \frac{2}{3}$

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:

$Pr = \frac{n(1,2,3,4)}{n(S)}$

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

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

So:

$Pr = \frac{4}{6}$

Simplify

$Pr = \frac{2}{3}$

Option (e)

We have:

$White = 10$

$Red = 5$

$Count = 7$

Record the probability of white.

This is calculated as:

$Pr = \frac{White}{Total}$

$Pr = \frac{White}{White + Red}$

$Pr = \frac{10}{10+5}$

$Pr = \frac{10}{15}$

Simplify

$Pr = \frac{2}{3}$