Find the rendition*! probability that there is a boy in a family with two kids i

Question

Find the rendition*! probability that there is a boy in a family with two kids if it is known that one of the children is girl ____ Find the conditional probability that is a boy in a family with two kids if it is known that the first child is a girl _______ A point is randomly chosen in a square [0, 1] times [0, 1]. The event A is that the point is in a square with vertices (0. 0), (0, 1/2), (1/2, 1/2), (1/2, 0). The event B is that the point is in a square with vertical (1/4, 1/4), (1, 1/4), (1, 1), (1/4, 1). (See Fig. 1a). Find the probability^1 P (A) = P (B) = P (AB) = P (A or B) = P (A^c) = P (B^c) = P (A^c and B^e) = P ((A or B)^e) = P (AB) = P (BA) = Are events A and B independent ? ______ A point is randomly chosen in a square |0, 1| times |0, 1]. The event A is that the point is in a square with vertices (0, 0), (0, 1/2), (1/2, 1/2), (1/2, 0) The event B is that the

Explanation / Answer

In a family with 2 children there are four possibilities:

1) the first child is a boy and the second child is a boy (bb)

2) the first child is a boy and the second child is a girl (bg)

3) the first child is a girl and the second child is a boy (gb)

4) the first child is a girl and the second child is a girl (gg)

Hence the probability that there is a boy in a family with two kids if it is known that one of the children is girl would be = 3/4 = 0.75

The probability that there is a boy in a family with two kids if it is known that first of the children is a girl would be = 1/4 = 0.25

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