12) Two players, SA and RH, play a tennis match. It is known that the probability of SA winning the match is 0.62. The probability of RH winning the match is

1. Break Down the Problem

To find the probability of player RH winning the match, we need to use the understanding that in a simple probability scenario of two outcomes (winning or losing), the total probability must equal 1.

2. Relevant Concepts

The probability of both outcomes must sum up to 1: $P(SA \text{ wins}) + P(RH \text{ wins}) = 1$

Let $P(RH \text{ wins})$ be $p$.

3. Analysis and Detail

We are given:

• $P(SA \text{ wins}) = 0.62$

Using the equation: $0.62 + p = 1$

Now, we can isolate $p$: $p = 1 - 0.62$

4. Verify and Summarize

Performing the calculation: $p = 0.38$ Thus, the probability of RH winning the match is calculated to be 0.38.

Final Answer

The probability of RH winning the match is $0.38$.