www. g "A political discussion group consists of 6 Democrats and 10 Republicans. Three members are selected to attend a conference. Find the probability that the group will consist of all Republicans."

Step-by-step explanation:

Given

Republicans = 10

Democrats = 6

Total = Republicans + Democrats = 10 + 6 = 16

Selection = 3

Required

Probability that all selected members are Republicans

This implies that all selected members are republicans and none are republicans

This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)

First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;

Divide numerator and denominator by 7!

Next, the number of ways that 0 republicans can be selected from 6 will be calculated

Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16

Lastly, the probability is calculated as follows;

Simplify fraction to lowest term

is there a question here?

step-by-step explanation: