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Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained who has the better chance to get the number 25?
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Peter throws two different dice together and finds the product of the ...
Comparison of Chances to Get 25
To determine who has a better chance of obtaining the number 25, we need to analyze the outcomes of both Peter’s and Rina’s throws.
Peter’s Outcomes
- Peter throws two different dice. The possible products of the two numbers can be calculated by multiplying the outcomes of each die.
- The maximum product from two dice (each ranging from 1 to 6) is 6 * 6 = 36, while the minimum is 1 * 1 = 1.
- To obtain the product of 25:
- The pairs that produce 25 are (5, 5) or (5, 5), but since the dice are different, this combination is not valid.
- Therefore, Peter cannot achieve a product of 25.
Rina’s Outcomes
- Rina throws a single die and squares the result. The possible outcomes are:
- 1^2 = 1
- 2^2 = 4
- 3^2 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- Here, the only outcome that results in 25 is when she rolls a 5.
Probability Calculation
- Peter’s probability of getting 25 = 0 (as he cannot achieve this outcome).
- Rina’s probability of getting 25 = 1/6 (the chance of rolling a 5 on a single die).
Conclusion
- Rina has a better chance of obtaining the number 25, specifically a probability of 1/6, while Peter has no chance at all. Therefore, Rina clearly has the advantage in this scenario.
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Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained who has the better chance to get the number 25?
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Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained who has the better chance to get the number 25? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained who has the better chance to get the number 25? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained who has the better chance to get the number 25?.
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