Question

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. Match each scenario to its probability

Answer 1

125/286

Explanation:

First we calculate the numerator of the desired probability:

"N(___)" means "The number of ways we can choose___)

N[ (3 girls AND 7 boys) OR (4 girls AND 6 boys) ]

The word "AND" suggests MULTIPLICATION, the word "OR" suggests ADDITION:

N(3 girls)*N(7 boys) + N(4 girls)*N(6 boys)

C(6,3)*C(7,7) + C(6,4)*C(7,6) = 20*1 + 15*7 = 125