A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys
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Answer:
Probability of girls more than boys in a group of 3 for field trip is 4/11
Step-by-step explanation:
Total children in the class= 12
Two more boys than girls means that
There is boys=7
and girls= 7-2= 5
Now, For the field trip three children selected from 12 and girls more than boys means
either all three are girls or there are 2 girls and 1 boy with possible cases as given below:
=5C3+5C2x7C1
total possible cases=12C3
Probability= (5C3+5C2x7C1 )/12C3
={(5x4/2)+(5x4/2) x 7}/(12x11x10/3x2)
=(10+10x7)/220
=80/220
=8/22
=4/11
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