| 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 Card numbered as 1, 2, 3 ...... 15 are put in a box and mixed throughly, one card is then drawn at random. The probability of drawing an even number is |
| \[\frac{1}{2}\]. |
| Reason For any event E, we have |
| \[0\le P\left( E \right)\le 1.\] |
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 :
Total possible outcomes = 15. \[n\left( S \right)=15\] Total favourable numbers are 2, 4, 6, 8, 10, 12, 14. E = {2, 4, 6, 8, 10, 12, 14} n(E) = 7 \[\therefore \] Probability of drawing an even number \[=\frac{7}{15}\] Hence, Assertion is false but Reason is true
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