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The probability that two friends share the same birth-month is
- a)1/6
- b)1/12
- c)1/144
- d)1/24
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The probability that two friends share the same birth-month is a)1/6b)...
Let A = the event that the birth month of first friend
And B= that of second friend.
∴ P( A )= 1, as 1st friend can born in any month
and P(B) = 1/12, by the condition.
∴ Probability of two friends share same birth-month
Most Upvoted Answer
The probability that two friends share the same birth-month is a)1/6b)...
Solution:
To find the probability that two friends share the same birth month, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
There are 12 months in a year, so each friend has 12 possible birth months.
Number of Favorable Outcomes:
For both friends to share the same birth month, one friend's birth month must match the other friend's birth month. Hence, there is only 1 favorable outcome.
Calculating the Probability:
The probability of an event is given by the formula:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the probability is:
Probability = 1 / 12
Hence, the correct option is B) 1/12.
Explanation:
The probability of two friends sharing the same birth month is 1/12 because there are 12 possible birth months, and only one of those months will match the other friend's birth month. The probability is independent of the order in which the friends were born.
To find the probability that two friends share the same birth month, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
There are 12 months in a year, so each friend has 12 possible birth months.
Number of Favorable Outcomes:
For both friends to share the same birth month, one friend's birth month must match the other friend's birth month. Hence, there is only 1 favorable outcome.
Calculating the Probability:
The probability of an event is given by the formula:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the probability is:
Probability = 1 / 12
Hence, the correct option is B) 1/12.
Explanation:
The probability of two friends sharing the same birth month is 1/12 because there are 12 possible birth months, and only one of those months will match the other friend's birth month. The probability is independent of the order in which the friends were born.
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The probability that two friends share the same birth-month is a)1/6b)1/12c)1/144d)1/24Correct answer is option 'B'. Can you explain this answer?
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