NCERT Class X Chapter 14: Probability Example 5

NCERT Class X Chapter 14: Probability Example 5

Question:

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 the match?

Given:

Probability of Sangeeta winning the match = 0.62

To Find:

Probability of Reshma winning the match

Formula:

Since there are only two players, 

the sum of probabilities of Sangeeta winning and Reshma winning must be equal to 1 (or 100%). 

Therefore, P(Sangeeta) + P(Reshma) = 1

Solution:

Let P(S) be the probability of Sangeeta winning and 

P(R) be the probability of Reshma winning.

Given P(S) = 0.62

We know that P(S) + P(R) = 1

⇒ 0.62 + P(R) = 1

⇒ P(R) = 1 - 0.62

⇒ P(R) = 0.38

Result:

The probability of Reshma winning the match is 0.38

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