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
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Chapter2: Second-order Linear Odes
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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.
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.
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Step 1

Given that three distinct integers are chosen at random from the first 15 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.

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