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Mobile App Chapter 2: Q.2.47 (page 51)
If there are strangers in a room, what is the probability that no two of them celebrate their birthday in the same month?
Short Answer
The probability that no two of them celebrate their birthday in the
the same month is.
Step by step solution
Given Information.
There are strangers in a room,
Explantion.
If people are in the room:
The outcome space of the experiment is where the vector describes their months of birth.
because each element of the vector can be chosen in
ways.
As each outcome from the outcome space is equally likely, the Axioms give:
(is the number of elements in the set
)
And the number of sample events in the event that no two people share their month of birth isthe number of different valued vectors in
size
.
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