Statisticsssssssssssssssssssss

Question

There were 3 separate eggs, so assume each child has a 50-50 chance of being a boy or a girl. When my neighbor was pregnant, she told me, “There is a 50-50 chance of having same gender triplets vs. some mix of genders.” State if this statement true or false, and defend your answer using a probability value with work shown.

Answer 1

Possible Outcomes for triplets

Probability

BBB 3 boys 1/4

BGB 1 girl, 2 boys 1/4

BGG 2 girls, 1 boy 1/4

GGG 3 girls 1/4

Probability same gender = 1/4 + 1/4 = 1/2

Probability mixed gender = 1/4 + 1/4 = 1/2

Statement is true.