Question
A table is set up which can seat 5 people from 4 adults and 6 children. Find the probability that the table seats atleast 2 children?
Answer: Option C
:
C
Probability of seating at least 2 children= 1- (Probability that the table seats none or exactly one child)
5 people can be selected out of 10 in 10C5 ways= 252
Number of ways of seating a table of 5 with 0 children= 0 (only 4 adults)
Number of ways of seating a table with exactly one child=6C1=6 ways
Required probability = 1-(6252)=4142
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:
C
Probability of seating at least 2 children= 1- (Probability that the table seats none or exactly one child)
5 people can be selected out of 10 in 10C5 ways= 252
Number of ways of seating a table of 5 with 0 children= 0 (only 4 adults)
Number of ways of seating a table with exactly one child=6C1=6 ways
Required probability = 1-(6252)=4142
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