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Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning?

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0.38

0.05

0.8

0.95

answer is A.

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Detailed Solution

Given that the probability of Sangeeta winning the match is 0.62.
We need to find the probability of Reshma winning.
We know,

P E + P E ¯ = 1 ... (i)

where

P E

is the probability of happening an event and

P E ¯

is the probability of not happening an event.
According to the question,

P E

is the probability of Sangeeta winning the match, and

P E ¯

will be the probability of Sangeeta not winning the match.
Since Sangeeta not winning the watch will be a win for Reshma, therefore,

P E ¯

will be the probability of Reshma winning the match.
We have,

P (E) = 0.62

Now, placing the values in equation (i), we have,

0.62 + P E ¯ = 1 ⇒ P E ¯ = 1 − 0.62 ⇒ P E ¯ = 0.38

Hence, the probability of Reshma winning the match will be 0.38.
Therefore, option 2 is correct.

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