| Assertion (A): Two players Sania and Deepika play a tennis match. If the probability of Sania winning the match is \[0.\text{68},\] then the probability of Deepika winning the match is\[0.\text{32}\]. |
| Reason (R): The sum of the probability of two complementary events is 1. |
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: A
Solution :
| [a] Clearly, Reason is true. |
| Let E be the event Sania win the match. |
| So, probability of Sania winning the match \[=P(E)=0.68\] |
| \[P(E)+P(\bar{E})=1\] |
| \[\therefore \] Probability of Deepika winning the match \[=P(\bar{E})\] |
| \[=1-0.68=0.32\] |
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