The probability that two boys do not have the same birthday is \[\mathbf{0}.\mathbf{897}\]. What is the probability that the two boys have the same birthday?
The probability that two boys do not have the same birthday is \[\mathbf{0}.\mathbf{897}\]. What is the probability that the two boys have the same birthday?

Solution:

We know that,

P(do not have the same birthday) \[+\]P(have same birthday) \[=\text{ }1\]

\[0.897\text{ }+\] P(have same birthday) \[=\text{ }1\]

Thus,

P(have same birthday) \[=\text{ }1\text{ }\text{ }0.897\]

P(have same birthday) \[=\text{ }0.103\]