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Q4E

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Discrete Mathematics and its Applications
Found in: Page 451
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

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

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Short Answer

Question: What is the probability that a randomly selected day of a leap year

(with 366 possible days) is in April?

Answer

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

is in April isPE=0.0819

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given

The probability that a randomly selected day of a leap year (with 366 possible days) is in April is PE=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:

PE=nEnS

Step 3: Calculation

As we know that total no. of days in a leap year is 366=nS.

We also know that in the month of April, total number of days are 30=nE.

Now substitute the values in the above formula we get

PE=30366⇒PE=15183⇒PE=0.0819

The probability that a randomly selected day of a leap year (with 366 possible days) is in April is PE=0.0819

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