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2 identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is :
- a)1/4
- b)1/12
- c)1/8
- d)1/36
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
2 identical cube shaped dice each with faces numbered 1 to 6 are rolle...
To find the probability that an even number is rolled on each dice, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Outcomes:
Each dice has 6 faces, and since there are 2 dice being rolled simultaneously, the total number of outcomes is 6 x 6 = 36.
Favorable Outcomes:
To find the number of favorable outcomes, we need to determine the number of ways an even number can be rolled on each dice.
For a single dice, there are 3 even numbers (2, 4, 6) out of 6 possible outcomes. Therefore, the probability of rolling an even number on a single dice is 3/6 = 1/2.
Since the two dice are identical, the probability of rolling an even number on each dice is the same. So, we can find the probability of rolling an even number on both dice by multiplying the probability of rolling an even number on a single dice by itself.
Probability of rolling an even number on both dice = (1/2) x (1/2) = 1/4
Therefore, the correct answer is option 'A' - 1/4.
Total Number of Outcomes:
Each dice has 6 faces, and since there are 2 dice being rolled simultaneously, the total number of outcomes is 6 x 6 = 36.
Favorable Outcomes:
To find the number of favorable outcomes, we need to determine the number of ways an even number can be rolled on each dice.
For a single dice, there are 3 even numbers (2, 4, 6) out of 6 possible outcomes. Therefore, the probability of rolling an even number on a single dice is 3/6 = 1/2.
Since the two dice are identical, the probability of rolling an even number on each dice is the same. So, we can find the probability of rolling an even number on both dice by multiplying the probability of rolling an even number on a single dice by itself.
Probability of rolling an even number on both dice = (1/2) x (1/2) = 1/4
Therefore, the correct answer is option 'A' - 1/4.
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Community Answer
2 identical cube shaped dice each with faces numbered 1 to 6 are rolle...
E1 → occurrence of even number on first dice 2
E2 → occurrence of even number on second dice
Hence, the correct option is (A).
E2 → occurrence of even number on second dice
Hence, the correct option is (A).
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2 identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is :a)1/4b)1/12c)1/8d)1/36Correct answer is option 'A'. Can you explain this answer?
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