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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.

Respuesta :

Answer:

[tex]\dfrac{l-k}{l}[/tex]

Step-by-step explanation:

The probability that Stephen wins a raffle is given by the expression:  [tex]\dfrac{k}{l}[/tex]

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:

[tex]\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}[/tex]

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