| Directions: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. |
| You have to select the one that best describes the two statements. |
| 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 \[P\left( \overline{E} \right)=1-P\left( E \right)\] where E is any event. |
A) If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
Correct Answer: D
Solution :
P (white marble) \[=\frac{5}{5+2+4}=\frac{5}{11}\] P (not white marble) \[=1-\frac{5}{11}\] \[=\frac{11-5}{11}=\frac{6}{11}\] Hence, Assertion is false but Reason is true.
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