Assertion :If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is $\frac{5}{11}$ . Reason: $P (¯ ¯¯ ¯ E) = 1 - P (E)$ , where E is any event.

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 D Assertion is incorrect but Reason is correct
Assertion is not correct, but reason is correct.
P(white marble) $= \frac{5}{5 + 2 + 4} = \frac{5}{11}$
P (not white marble) $= 1 - \frac{5}{11} = \frac{11 - 5}{11} = \frac{6}{11}$

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Assertion :If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is 511. Reason: P(¯¯¯¯E)=1−P(E), where E is any event.

The correct option is D Assertion is incorrect but Reason is correctAssertion is not correct, but reason is correct.P(white marble) =55+2+4=511P (not white marble) =1−511=11−511=611

Assertion :If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is $\frac{5}{11}$ . Reason: $P (¯ ¯¯ ¯ E) = 1 - P (E)$ , where E is any event.

The correct option is D Assertion is incorrect but Reason is correct
Assertion is not correct, but reason is correct.
P(white marble) $= \frac{5}{5 + 2 + 4} = \frac{5}{11}$
P (not white marble) $= 1 - \frac{5}{11} = \frac{11 - 5}{11} = \frac{6}{11}$