The probability that the next two offspring will both be girls is 1/3.
To find P both children are girls
A: Event that both children are girls
A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}
Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)
(P(A∩B)P(B))
Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414
Therefore,
P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.
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