"If the probability that an event will occur..." was answered by our experts

waigaK

Answered question

2021-09-23

If the probability that an event will occur is

\frac{2}{11}

. (Enter your probabilities as fractions.)
(a) What are the odds in favor of the event occurring?
(b) What are the odds against the event occurring?

insonsipthinye

Skilled2021-09-24Added 83 answers

Step 1
We will find what are the odds in favour and against the event are as following.
Step 2
Probability that event will occur

= \frac{2}{11} = P (A)

Odds in favour of the event

= \frac{P (A)}{1 - P (A)}

= \frac{\frac{2}{11}}{1 - \frac{2}{11}}

= \frac{\frac{2}{11}}{\frac{9}{11}}

= \frac{2}{9}

Odds against the event

= \frac{1 - P (A)}{P (A)}

= \frac{1 - \frac{2}{11}}{\frac{2}{11}}

= \frac{\frac{9}{11}}{\frac{2}{11}}

= \frac{9}{2}

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