A group of students are asked which game they play. The findings are as follows : 8 play cricket, 9 play football, 7 play table tennis, and 5 play tennis. One student is selected at random. What is the probability that the student plays either table tennis or tennis?

Answer

To solve the problem, we need to find the probability that a randomly selected student plays either table tennis or tennis. Let's break down the steps:

### Step-by-Step Solution:

1. **Identify the Number of Players for Each Game:**
- Cricket: 8 players
- Football: 9 players
- Table Tennis: 7 players
- Tennis: 5 players

2. **Calculate the Total Number of Players:**
- Total players = Number of cricket players + Number of football players + Number of table tennis players + Number of tennis players
- Total players = 8 + 9 + 7 + 5 = 29

3. **Identify the Favorable Outcomes:**
- We are interested in students who play either table tennis or tennis.
- Number of table tennis players = 7
- Number of tennis players = 5
- Total favorable outcomes = Number of table tennis players + Number of tennis players
- Total favorable outcomes = 7 + 5 = 12

4. **Calculate the Probability:**
- Probability (P) = (Number of favorable outcomes) / (Total number of players)
- Probability (P) = 12 / 29

5. **Final Answer:**
- The probability that the student plays either table tennis or tennis is **12/29**.