Answer :
If the probability of having a boy or girl is equally likely, determine the expected number of boys is 0.875.
In this case, we consider:
B = number of boys
P(B) = probability of having a boy
E(B) = expected number of boys
B = 0; P(B) = 1/2
B = 1; P(B) = 1/4
B = 2; P(B) = 1/8
B = 3; P(B) = 1/8
So, E(B) = 0(1/2) + 1(1/4) + 2(1/8) + 3(1/8)
E(B) = 0.875
Hence, the expected number of boys is 0.875.
What is probability?
Probability is about estimating or calculating how likely or 'probable' something is to happen. The chance of an event happening can be described in words, for example 'certain', 'impossible' or 'likely'. Probabilities are always written as fractions, decimals or percentages with values between 0 and 1.
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