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A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10?
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A blue die a yellow die and a white die are thrown at the same time wh...
Calculating the Probability of the Sum of Three Numbers Being 10
To calculate the probability of the sum of three numbers being 10 when throwing a blue die, a yellow die, and a white die at the same time, we need to consider all the possible outcomes and the total number of outcomes.
Possible Outcomes
When throwing three dice, each die has 6 sides with numbers ranging from 1 to 6. Therefore, the possible outcomes for each die range from 1 to 6.
Total Number of Outcomes
Since there are three dice being thrown simultaneously, the total number of outcomes is calculated by multiplying the number of outcomes for each die. Therefore, the total number of outcomes is 6 x 6 x 6 = 216.
Favorable Outcomes for Sum of 10
To get a sum of 10, we need to determine the combinations of numbers that can be rolled on each die to achieve this sum. The possible combinations are:
- (4, 3, 3)
- (3, 4, 3)
- (3, 3, 4)
There are 3 favorable outcomes that result in a sum of 10.
Calculating Probability
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Therefore, the probability of getting a sum of 10 when throwing three dice is:
3 (favorable outcomes) / 216 (total outcomes) = 1/72.
Therefore, the probability of the sum of three numbers being 10 when throwing a blue, yellow, and white die at the same time is 1/72.
To calculate the probability of the sum of three numbers being 10 when throwing a blue die, a yellow die, and a white die at the same time, we need to consider all the possible outcomes and the total number of outcomes.
Possible Outcomes
When throwing three dice, each die has 6 sides with numbers ranging from 1 to 6. Therefore, the possible outcomes for each die range from 1 to 6.
Total Number of Outcomes
Since there are three dice being thrown simultaneously, the total number of outcomes is calculated by multiplying the number of outcomes for each die. Therefore, the total number of outcomes is 6 x 6 x 6 = 216.
Favorable Outcomes for Sum of 10
To get a sum of 10, we need to determine the combinations of numbers that can be rolled on each die to achieve this sum. The possible combinations are:
- (4, 3, 3)
- (3, 4, 3)
- (3, 3, 4)
There are 3 favorable outcomes that result in a sum of 10.
Calculating Probability
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Therefore, the probability of getting a sum of 10 when throwing three dice is:
3 (favorable outcomes) / 216 (total outcomes) = 1/72.
Therefore, the probability of the sum of three numbers being 10 when throwing a blue, yellow, and white die at the same time is 1/72.
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A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10?
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A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10?.
A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A blue die a yellow die and a white die are thrown at the same time what is the probability that the sum of three numbers that turn up is 10?.
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