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A die is rolled thrice. Find the probability of getting a number less than 5 in each case.
- a)5/26
- b)8/27
- c)1/18
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A die is rolled thrice. Find the probability of getting a number less ...
Probability of getting a number less than 5 when a die is rolled is 4/6 or 2/3.
Let's calculate the probability for each case:
First roll:
The probability of getting a number less than 5 is 2/3.
Second roll:
Again, the probability of getting a number less than 5 is 2/3.
Third roll:
Once again, the probability of getting a number less than 5 is 2/3.
Since each roll is independent, we can multiply the probabilities to find the probability of getting a number less than 5 in all three rolls.
Probability of getting a number less than 5 in each case = 2/3 × 2/3 × 2/3 = 8/27.
Therefore, the correct answer is option 'B' which is 8/27.
Let's calculate the probability for each case:
First roll:
The probability of getting a number less than 5 is 2/3.
Second roll:
Again, the probability of getting a number less than 5 is 2/3.
Third roll:
Once again, the probability of getting a number less than 5 is 2/3.
Since each roll is independent, we can multiply the probabilities to find the probability of getting a number less than 5 in all three rolls.
Probability of getting a number less than 5 in each case = 2/3 × 2/3 × 2/3 = 8/27.
Therefore, the correct answer is option 'B' which is 8/27.
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Community Answer
A die is rolled thrice. Find the probability of getting a number less ...
Total cases = 63
Favorable cases = 43
Probability of getting a number less than 5 in each case
Favorable cases = 43
Probability of getting a number less than 5 in each case
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A die is rolled thrice. Find the probability of getting a number less than 5 in each case.a)5/26b)8/27c)1/18d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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