| Assertion (A): Two dice are thrown simultaneously. There are 11 possible outcomes of their sum (3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13) and each of them are equally Likely. |
| Reason (R): Probability of an event f is defined as \[P(E)=\frac{\text{Number of outcomes favourable to E}}{\text{Total number of possible outcomes}}\] |
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] Clearly, Reason is true. |
| Now, if two dice will be thrown simultaneously, then the possible outcomes of their sum will be \[\{2,2,3,4,5,6,7,8,9,10,11,12\}\]and probability of each outcome is not equally likely. |
| \[\therefore \] Assertion: False ; Reason : True. |
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