Statement A (Assertion) : Two players Sania and Deepika play a te… - Vidyadip

MCQ

Statement A (Assertion) : Two players Sania and Deepika play a tennis match. If the probability of Sania winning the match is 0.68 , then the probability of Deepika winning the match is 0.32 .
Statement R (Reason) : The sum of the probabilities of two complementary events is 1 .

✓
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 and 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.

✓

Answer

Correct option: A.

Both assertion (A) and reason ( $R$ ) are true and reason (R) is the correct explanation of assertion (A).

(a):Clearly, Reason is true.
Let $E$ be the event 'Sania win the match'.
So, probability of Sania winning the match $=P(E)=0.68$
$ \because \quad P(E)+P(\bar{E})=1 $
$\therefore \quad$ Probability of Deepika winning the match $=P(\bar{E})$
$ =1-0.68=0.32 $
So, Assertion and Reason both are true and Reason is the correct explanation of Assertion.

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