Question

Liam and John are going to play video games this afternoon. Together, they have 47 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction.

Answer 1

Given:

Liam and John together have 47 video games.

`\text{Probability that they choose choose=}(^2C_2)/(^(47)C_2)`
`=(1)/((47!)/(45!2!))`
`=(45!2!)/(47!)`
`=(45!2!)/(47*46*45!)`
`=(2)/(47*46)`
`=(1)/(1081)`