A token is drawn at random from a box containing tokens numbered 1 to 25. Event P is defined as drawing a number that is a perfect square, and Event Q is defined as drawing an even number. Are events P and Q mutually exclusive, and why?

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Mathematics · Probability

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

No, because outcomes like 4 and 16 satisfy both conditions

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Answer 1

No, because outcomes like 4 and 16 satisfy both conditions

Answer 2

Yes, because the intersection of the two sets of outcomes is empty

Answer 3

Yes, because the sum of their individual probabilities equals 1

Answer 4

No, because all perfect squares in this range are even numbers

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