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Found in: Page 451

### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

# Question: What is the probability that a randomly selected day of a leap year(with 366 possible days) is in April?

The probability that a randomly selected day of a leap year (with 366 possible days)

is in April is$P\left(E\right)=0.0819$

See the step by step solution

## Step 1: Given

The probability that a randomly selected day of a leap year (with 366 possible days) is in April is $P\left(E\right)=0.0819.$

## Step 2: Explanation

As per the problem we have been asked to find that the probability that a randomly selected day of a leap year (with 366 possible days) is in April.

If S represents the sample space and E represents the event. Then the probability of occurrence of favourable event is given by the formula as below:

$P\left(E\right)=n\left(E\right)n\left(S\right)$

## Step 3: Calculation

As we know that total no. of days in a leap year is $366=n\left(S\right).$

We also know that in the month of April, total number of days are $30=n\left(E\right).$

Now substitute the values in the above formula we get

$P\left(E\right)=30366⇒P\left(E\right)=15183⇒P\left(E\right)=0.0819$

The probability that a randomly selected day of a leap year (with 366 possible days) is in April is $P\left(E\right)=0.0819$