The probability that both children are boys is 1/2.
What is probability?
The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions. In everyday speech, the term "probability" refers to the likelihood that a specific event (or group of events) will take place, represented as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty).
Given in the question,
Mr. Smith has two children, one of them is boy.
So, the possible combinations are,
(Boy, Boy) and (Boy, Girl)
It means number of total outcomes is 2,
we have to find probability of (Boy, Boy)
It means number of favorable outcomes is 1,
The formula for the calculation of probability is:
Probability = number of favorable outcomes/ number of total outcomes,
So,
Probability = 1/2
Therefore, The probability that both children are boys is 1/2.
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