Question
In: Math
In a certain country, the true probability of a baby being a girl is 0.461 Among...
In a certain country, the true probability of a baby being a
girl
is
0.461
Among the next
four
randomly selected births in the country, what is the probability that at least one of them is a
boy?
The probability is.
Solutions
Expert Solution
G : Event of a baby being a girl
P(G) = 0.461
Number of randomly selected births = 4
Probability that at least one of them is a boy = 1 - Probability that none of them is boy
Probability that none of them is boy = Probability that all of them are girls
Probability that all of them are girls when 4 births are selected
= Probability that first selected birth is a girl x Probability that second birth is a girl x Probability that third birth is a girl x Probability that fourth birth is a girl
= P(G) x P(G) x P(G) x P(G) = 0.461 x 0.461 x 0.461 x 0.461 = 0.045165175
Probability that none of them is boy = Probability that all of them are girls = 0.045165175
Probability that at least one of them is a boy = 1 - Probability that none of them is boy = 1 - 0.045165175= 0.954834825
Among the next four randomly selected births, Probability that at least one of them is a boy = 0.954834825
The probability is 0.954834825
milcah answered 1 year agoRelated Solutions
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