| Directions (Q. Nos 1 - 20): In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as: |
| Assertion (A): 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 (R): \[P(\bar{E})=1-P(E),\] where E is any event. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: D
Solution :
| [d] Assertion (A) is false but reason (R) is true. 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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