Question

The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combined single fraction, for the probability that Brian does not win.

Answer 1

`(2)/(n+2)`

Explanation:

Given

Let the total probability be 1

Probability that Brian wins a raffle = n/n+2

Probability that Brian does not win a raffle = 1 - Probability that Brian wins a raffle

Probability that Brian does not win a raffle = 1 - (n/n+2)

Probability that Brian does not win a raffle =
`(n+2-n)/(n+2)`

Probability that Brian does not win a raffle =
`(2)/(n+2)`

Hence required fraction is
`(2)/(n+2)`