Q.3. Compute the probability that: (a) their sum is odd; (b) their product is even. Three distinct integers are chosen at random from the first 15 positive integers.
Q.3. Compute the probability that: (a) their sum is odd; (b) their product is even. Three distinct integers are chosen at random from the first 15 positive integers.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q.3.
Compute the probability that: (a) their sum is odd; (b) their product is even.
Three distinct integers are chosen at random from the first 15 positive integers.
Expert Solution

Step 1
Given that three distinct integers are chosen at random from the first positive integers.
We need to compute the probability that (a) their sum is odd, (b) their product is even.
We know that sum of three integers is odd, if either all three integers are odd or one of the three integers is odd.
We know that the product of three integers is even if at least one of the three integers is even.
Step by step
Solved in 3 steps

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