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Q3E

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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 integer chosen from the first 100 positive integers is odd?

Answer

12 chances are there for getting first 100 positive integer odd.

See the step by step solution

Step by Step Solution

Step 1: Given

The probability that a randomly selected integer chosen from the first100 positive integers is odd is PE=12

Step 2: Explanation

As per the problem an integer is randomly chosen from first 100 positive integers.

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 given below:

PE=nEnS

Step 3: Calculation  

Here we are choosing from the first 100 positive integers so we have nS=100

The number of odd integers in the first 100 positive integers are as follows

{1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31 }

So, we have nE=50

Now substitute the values in the above formula we get

PE=50100PE=12

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