A survey of 400 families each having 3 children is conducted . in how many families do you expect (1) 1 boy and 2 girl (2) only girls
Answers
150 Families expected to have 1 boy & 2 Girls in 400 families each having 3 children
Step-by-step explanation:
in a family having 3 children
0B - 3G - GGG ( 1 way)
1B - 2G can be in 3 Ways BGG , GBG , GGB
2B - 1G Can be in 3 Ways BBG , BGB , GBB
3B - 0 G BBB ( 1 way)
Probability of 1 boy & 2 Girls = 3/8
out of 400 family = (3/8)*400 = 150
Probability of Only girls = 1/8
out of 400 family = 400 /8 = 50
other way :
Probability of boy = 1/2
Probability of Girl = 1/2
P(0) boys = ³C₀(1/2)⁰(1/2)³ = 1/8
P(1) boys = ³C₁(1/2)¹(1/2)² = 3/8
P(2) boys = ³C₂(1/2)²(1/2)¹ = 3/8
P(3) boys = ³C₃(1/2)³(1/2)⁰ = 1/8
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