Question

Emma, Sutton, Damaris, Ila and Alice run on the same cross country team. Two of these runners are randomly selected to represent the team at a county meet. What is the probability that Alice is chosen first and Emma is chosen second?

Answer 1

Answer:1/20

Explanation:

Answer 2

Answer:
`(1)/(20)`

Explanation:

Given: The total number of runners run on the same cross country team = 5

If Alice is chosen first and Emma is chosen second, then the number of ways to choose two players =
`1*1=1`

The total number of ways to choose two runners from 5 =
`^5P_2=(5!)/((5-2)!)=5*4=20`

Then, the probability that Alice is chosen first and Emma is chosen second is given by :-

`\text{P(Alice is chosen first and Emma is chosen second )}=(1)/(20)`