Is there a genetic factor that causes some families to favor one gender over the

Question

Is there a genetic factor that causes some families to favor one gender over the other gender? Does having boys or having girls "run in the family"? Researchers studies 5536 families that two children. The following table list data regarding the gender of the two children: Boy-Boy Boy-Girl Girl-Boy Girl-Girl 1, 447 1, 453 1, 484 1, 152 Using the table, what is the probability that a family has (1) Two boys? (2) Two girls? (3) One boy and one girl ? (4) At least one boy? (5) At most one boy ? (6) At most one girl ? Using classical probability, what is the probability that a family has (7) Two boys? (8) Two girls? (9) One boy and one girl? (10) At least one boy? (11) At most one boy (12) At most one girl?

Explanation / Answer

As multiple parts are posted, only the first 4 will be answered.

1. P(2 boys) = N(boy-boy) / Total = 1447/5536 = 0.2614

2. P(2 girls) = N(girl-girl) / Total = 1152/5536 = 0.2081

3. P(1 boy and 1 girl) = [N(boy-girl) + N(girl-boy)] / Total

= (1453+1484)/5536 = 0.5305

4. P(at least one boy) = 1 - P(no boy) = 1 - P(2 girls) = 1 - 0.2081 = 0.7919

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