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In a football match, Ronaldo makes 4 g...

In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is
(a)`1/4`
(b) `1/6`
(c) `1/3`
(d) `2/5`

A

`1/4`

B

`1/6`

C

`1/3`

D

`2/5`

Text Solution

AI Generated Solution

The correct Answer is:
To find the probability of Ronaldo converting a penalty kick into a goal, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the total number of penalty kicks**: Ronaldo took a total of 10 penalty kicks. 2. **Identify the number of successful goals**: Out of those 10 penalty kicks, Ronaldo scored 4 goals. 3. **Determine the number of favorable outcomes**: The number of favorable outcomes (successful goals) is 4. 4. **Determine the total number of outcomes**: The total number of outcomes (total penalty kicks) is 10. 5. **Use the probability formula**: The probability \( P \) of an event is given by the formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] 6. **Substitute the values into the formula**: \[ P(\text{goal}) = \frac{4}{10} \] 7. **Simplify the fraction**: \[ P(\text{goal}) = \frac{4 \div 2}{10 \div 2} = \frac{2}{5} \] 8. **Conclusion**: Therefore, the probability of Ronaldo converting a penalty kick into a goal is \( \frac{2}{5} \). ### Final Answer: The probability of converting a penalty kick into a goal by Ronaldo is \( \frac{2}{5} \). ---
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