f the probabilities of having a male or female child are both 0.50, find the probabilities that a family\'s fourth child is their first son, a family\'s seventh child is their second daughter, a family\'s tenth child is their foruth or fifth son. Solution The probability of a Son is 0.5 The probobility of a daughter is 0.5 (a) The probability of a family’s fourth child is their first son is 4c1*(0.5)^1*(0.5)^3=0.25 (b) The probability of a family’s seventh child is their second daughter7c2*(0.5)^2*(0.5)^5=0.16406 (c) The probability of a family’s tenth child is their fourth or fifth son (10c4*(0.5)^4*(0.5)^6) +(10c5*(0.5)^5*(0.5)^5) = 0.20507+0.24609 =0.45116.