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Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is.
A) 1/5 B)1/4 C)1/3 D)1/2?
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Three numbers are to be drawn without replacement from {1,2,.20}and ev...


Approach:
To find the probability that the sum of the three selected numbers is a multiple of 3 given that one of the selected numbers is 8, we need to first determine the total number of outcomes when one of the numbers is 8 and then find the number of favorable outcomes where the sum is a multiple of 3.

Total Number of Outcomes:
When one of the numbers is 8, there are 19 remaining numbers to choose from (1, 2, 3, ..., 7, 9, 10, ..., 20). Therefore, the total number of outcomes is 19C2 (selecting 2 numbers from the remaining 19).

Favorable Outcomes:
For the sum of the three numbers to be a multiple of 3, the sum must be 9, 12, 15, or 18. Since one of the numbers is 8, the other two numbers must be 1 and 10, 2 and 9, 3 and 7, or 4 and 6 respectively. Therefore, there are 4 favorable outcomes.

Calculation:
The probability of the sum of the three selected numbers being a multiple of 3 given that one of the numbers is 8 is the number of favorable outcomes divided by the total number of outcomes:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 4 / 19C2
Probability = 4 / 171
Probability = 1/42

Therefore, the probability that the sum of the three selected numbers is a multiple of 3 given that one of the numbers is 8 is 1/42, which is not one of the given answer choices.
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Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is.A) 1/5 B)1/4 C)1/3 D)1/2?
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Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is.A) 1/5 B)1/4 C)1/3 D)1/2? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is.A) 1/5 B)1/4 C)1/3 D)1/2? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is.A) 1/5 B)1/4 C)1/3 D)1/2?.
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