The probability that two friends share the same birth-month is
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7
The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the "right" birthday is 365/365, or 100%. The chance that the second person has the same birthday is 1/365.
Answered by
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A person can have birthday in any of the 12 months of the year.Another person can also have his/her birthday in any of the 12 months.Now,the total number of possible combinations is 12*12 , which equals 144.
This set of all possible combinations contains 12 pairs of identical months {for example(Jan,Jan)},which are our favorable outcomes.
Thus the probability =
(Number of favorable outcomes)/(Number of events in sample space)=
12/(12*12)=1/12
This set of all possible combinations contains 12 pairs of identical months {for example(Jan,Jan)},which are our favorable outcomes.
Thus the probability =
(Number of favorable outcomes)/(Number of events in sample space)=
12/(12*12)=1/12
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