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

Answer:

$\dfrac{l-k}{l}$

Step-by-step explanation:

The probability that Stephen wins a raffle is given by the expression:  $\dfrac{k}{l}$

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:

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