Question

Compute the probability of event E if the odds in favor of E are 28 to 29.

Answer 1

Answer:

28/57

Step-by-step explanation:

odds in favor of event occurring = (probability event occurs)/(probability event does not occur)

Let p = probability event occurs.

Then the probability the event does not occur is 1 - p.

Let the odds = a/b.

a/b = p/(1 - p)

a(1 - p) = bp

a - ap = bp

bp + ap = a

p(a + b) = a

p = a/(a + b)

p = 28/(28 + 29)

p = 28/57

Answer 2

Answer:  28/57

Explanation:

The odds in favor of 28 to 29 means there are 28 ways the event E could occur and 29 ways it doesn't occur.

So there are 28 instances out of 28+29 = 57 ways total.

It leads to the fraction 28/57 which cannot be reduced further.