Question

The odds against an event are 5 to 1. Find the probability that the event will occur.State your answer as a fraction.

Answer 1

1/6

Step-by-step explanation:

We ared told the odds against an event = 5 to 1

odd against = number of times it won't occur/ number of times it will occur

Odds in favour of the event occurring = inverse of odds against the event

Odds in favour of the event occurring = number of times it will occur/ number of times it won't occur

Odds in favour of the event occuring = 1 to 5

Probability of the event occurring:

`\begin{gathered} Pr\text{ (event occurs) = }\frac{number\text{ of times event will occur}}{\text{Total }} \\ \text{Total = 1 + 5 = 6} \\ number\text{ of times event will occur = 1} \\ Pr\text{ (event occurs) = }(1)/(6) \end{gathered}`

Hence, the Probability of the event occurring is 1/6