Question

The probability that Stephen wins a raffle is given by the expression k l . Write down an expression, in the form of a combined single fraction, for the probability that Stephen does not win.

Answer 1

`(l-k)/(l)`

Explanation:

The probability that Stephen wins a raffle is given by the expression:
`(k)/(l)`

Given an event A

P(A occurring)+P(A not occurring)=1

Therefore:

P(Stephen wins the raffle)+P(Stephen does not win the raffle)=1

Substituting our given probability, we obtain:

`(k)/(l)$ + P(Stephen does not win the raffle)=1\\P(Stephen does not win the raffle)$=1-(k)/(l)\\$Taking the Lowest common multiple of the right-hand side, we have:\\\\P(Stephen does not win the raffle)$=(l-k)/(l)`