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Two dice are tossed. The probability that the total score is a prime number is
- a)5/12
- b)7/12
- c)6/11
- d)5/7
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two dice are tossed. The probability that the total score is a prime n...
E = (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5)
n(E) = 15
n(S) = 6*6 = 36
P = 15/36 = 5/12
n(E) = 15
n(S) = 6*6 = 36
P = 15/36 = 5/12
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Community Answer
Two dice are tossed. The probability that the total score is a prime n...
Probability of getting a prime number as the total score:
First, let's identify all the prime numbers that can be obtained as the total score when two dice are tossed. The possible outcomes for the sum of two dice range from 2 to 12.
Prime numbers between 2 and 12:
- 2, 3, 5, 7, 11
Calculating the total number of favorable outcomes:
- Out of the 36 possible outcomes when two dice are tossed (6 possibilities for each dice), only 15 outcomes result in a prime number total.
Calculating the probability:
- Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
- Probability = 15 / 36
- Simplifying the fraction, we get 5/12.
Therefore, the correct answer is Option 'A' (5/12), representing the probability of getting a prime number as the total score when two dice are tossed.
First, let's identify all the prime numbers that can be obtained as the total score when two dice are tossed. The possible outcomes for the sum of two dice range from 2 to 12.
Prime numbers between 2 and 12:
- 2, 3, 5, 7, 11
Calculating the total number of favorable outcomes:
- Out of the 36 possible outcomes when two dice are tossed (6 possibilities for each dice), only 15 outcomes result in a prime number total.
Calculating the probability:
- Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
- Probability = 15 / 36
- Simplifying the fraction, we get 5/12.
Therefore, the correct answer is Option 'A' (5/12), representing the probability of getting a prime number as the total score when two dice are tossed.
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Two dice are tossed. The probability that the total score is a prime number isa)5/12b)7/12c)6/11d)5/7Correct answer is option 'A'. Can you explain this answer?
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