  Compute the probability of an event E if the odds in favor of E are 2/5.

Question

Compute the probability of an event E if the odds in favor of E are 2/5.

Step 1

Odds of an event:

The odds an event is given by the ratio of the probability of the event to its probability of compliment of the event. That is, the odds of an event E is given below. help_outlineImage TranscriptioncloseOdds of an event = Number of favorable outcomes Number of unfavorable outcomes fullscreen
Step 2

Probability of an event:

The probability of an event is the number of favourable outcomes divided by the sum of number of favourable and unfavourable outcomes. help_outlineImage TranscriptioncloseNumber of favorable outcomes P(P Number of favorable outcomes + Number of unfavorable outcomes )= fullscreen
Step 3

Computation of probability of an event E:

It is given that odds in favour of E is 2/5.

That is, number of favourable outcomes is 2.

The number of unfavourable outcomes is 5.

By substituting the va...

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