Question

Probability word problem

In a group of 30 students, there are 14 girls and 4 of them can speak French. 6 of the 16 boys can speak French. If a student is selected randomly from the group, find the probability that the selected student:

a) can speak French:



b) is a boy:



c) is a girl who can speak French:

Answer 1

a) 1/3

b) 8/15

c) 2/15

Explanation:

Total students: 30

Girls: 14

Boys: 30 - 14 = 16

French speaking: 4 + 6 = 10

a) P(French speaking) = 10/30

1/3

b) P(boy) = 16/30 = 8/15

c) P(French speaking girl) = 4/30

= 2/15

Answer 2

see below

Explanation:

A can speak french

There are 10 students who can speak french, 4 girls and 6 boys

P(french) = speak french/ total

= 10/30

= 1/3

B is a boy

There are 16 boys

P (boy) = boys/total

= 16/30

8/15

C girl who can speak french

There are 4 girls who can speak french

P (girl who can speak french) = girl who can speak french/ total

=4/30

2/15