Question

What is the probability to select a boy and a girl student from a group of 6 boys and 4 girls A) 1/5B) 15/8C)8/15D)8/30

Answer 1

The sample space for selecting 2 students from the 10 students contains

`10C2=45`

On the other hand, the number of ways of selecting 1 boy and 1 girl is

`6C1*4C1=6*4=24`

Then, the probability of selecting 1 boy and 1 girls is

`P(1\text{ boy and 1 girl)=}(6C1*4C1)/(10C2)=(24)/(45)`

then, by reducing this fraction the answer is

`P(1\text{ boy and 1 girl)=}(8)/(15)`

which corresponds to option C