Assertion -If A and B are two independent events and it is given that PA-25- PB-35- then PA- B-625- Reason- PA- B-PA- PB- where A and B are two independent events-

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Properties of Diagonal of a Parallelogram

Assertion :If...

Question

Assertion :If A and B are two independent events and it is given that $P (A) = \frac{2}{5}, P (B) = \frac{3}{5}$ , then $P (A \cap B) = \frac{6}{25} .$ Reason: $P (A \cap B) = P (A) \cdot P (B)$ , where A and B are two independent events.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Both assertion and reason are correct. Also, reason is the correct explanation of the assertion.
$P (A \cap B) = (\frac{2}{5}) (\frac{3}{5}) = \frac{6}{25}$

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Similar questions

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Assertion :If A and B are two independent events and it is given that P(A)=25,P(B)=35, then P(A∩B)=625. Reason: P(A∩B)=P(A)⋅P(B), where A and B are two independent events.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionBoth assertion and reason are correct. Also, reason is the correct explanation of the assertion.P(A∩B)=(25)(35)=625

Assertion :If A and B are two independent events and it is given that $P (A) = \frac{2}{5}, P (B) = \frac{3}{5}$ , then $P (A \cap B) = \frac{6}{25} .$ Reason: $P (A \cap B) = P (A) \cdot P (B)$ , where A and B are two independent events.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Both assertion and reason are correct. Also, reason is the correct explanation of the assertion.
$P (A \cap B) = (\frac{2}{5}) (\frac{3}{5}) = \frac{6}{25}$