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In a cricket match , a batsman hit a boundary x times
out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x?
out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x?
Most Upvoted Answer
In a cricket match , a batsman hit a boundary x times out of 72 balls ...
Understanding the Problem
In this cricket scenario, we need to determine how many boundaries (x) the batsman hit out of 72 balls played, given the probability of not hitting a boundary is 8/9.
Given Data
- Total balls faced by the batsman = 72
- Probability of not hitting a boundary = 8/9
Calculating the Probability
The probability of an event occurring is defined as the number of successful outcomes divided by the total number of possible outcomes.
- Let the number of boundaries hit be x.
- Therefore, the number of balls on which a boundary was not hit = Total balls - Boundaries = 72 - x.
The probability of not hitting a boundary can be expressed as:
- Probability (not hitting a boundary) = (Number of balls without boundaries) / (Total balls)
- This can be written as: (72 - x) / 72 = 8/9
Setting Up the Equation
Now, we set up the equation based on the probability given:
- (72 - x) / 72 = 8/9
Cross-Multiplying
To solve for x, we cross-multiply:
- 9(72 - x) = 8 * 72
Simplifying the Equation
- 648 - 9x = 576
- Rearranging gives us: 648 - 576 = 9x
- 72 = 9x
Finding the Value of x
Now, divide both sides by 9:
- x = 72 / 9
- x = 8
Conclusion
Thus, the number of boundaries hit by the batsman is 8.
In this cricket scenario, we need to determine how many boundaries (x) the batsman hit out of 72 balls played, given the probability of not hitting a boundary is 8/9.
Given Data
- Total balls faced by the batsman = 72
- Probability of not hitting a boundary = 8/9
Calculating the Probability
The probability of an event occurring is defined as the number of successful outcomes divided by the total number of possible outcomes.
- Let the number of boundaries hit be x.
- Therefore, the number of balls on which a boundary was not hit = Total balls - Boundaries = 72 - x.
The probability of not hitting a boundary can be expressed as:
- Probability (not hitting a boundary) = (Number of balls without boundaries) / (Total balls)
- This can be written as: (72 - x) / 72 = 8/9
Setting Up the Equation
Now, we set up the equation based on the probability given:
- (72 - x) / 72 = 8/9
Cross-Multiplying
To solve for x, we cross-multiply:
- 9(72 - x) = 8 * 72
Simplifying the Equation
- 648 - 9x = 576
- Rearranging gives us: 648 - 576 = 9x
- 72 = 9x
Finding the Value of x
Now, divide both sides by 9:
- x = 72 / 9
- x = 8
Conclusion
Thus, the number of boundaries hit by the batsman is 8.
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In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x?
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In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x?.
In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cricket match , a batsman hit a boundary x times out of 72 balls he plays . If the probability that he did not hit a boundary is 8/9 then find the value of x?.
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