| Assertion (A): Two dice are rolled simultaneously. Then the probability of getting prime number on both dice is \[\frac{1}{4}\]. |
| Reason (R): Sum of probability of all the elementary events of a experiment is zero. |
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: C
Solution :
| [c] Clearly. Reason is false. |
| Now. total number of possible outcomes, when two dicw are rolled simultaneously \[=6\times 6=36\] |
| Favorable outcomes are |
| \[\{(2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(5,2),(5,3),(5,5)\},\]i.e., 9 |
| \[\therefore \] Required probability \[=\frac{9}{36}=\frac{1}{4}\] |
| \[\therefore \] Assertion: True; Reason: False. |
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