Short Answer TypeA family has two children. What is the probability that both the children are boys given that at least one of them is a boy?
Let b stand for boy and g for girl.
∴ S = {(b, b), (g, b), (b, g), (g, g)}
Let E and F denote the following events:
E : ‘both the children are boys’
F : ‘at least one of the child is a boy’
∴ E = {(b, b)} and F = {(b, b), (g, b), (b, g)}
Now, 
A couple has two children,
Find the probability that both children are males, if it is known that at least one of the children is male.
A couple has two children,
Find the probability that both children are females, if it is known that the elder child is a female.
Long Answer TypeAn electronic assembly consists of two subsystems, say A and B. From the previous testing procedures, the following probabilities are assumed to be known:
P( A fails) = 0.2
P(B fails alone) = 0.15
P(A and B fail) = 0.15
Evaluate the following probabilities:
(i) P( A fails 
) (ii) P(A fails alone)
Multiple Choice Questions
Switch
is
