Question

A math class consists of 25 students, 14 female and 11 male. Two students are selected at random to participate in a probability experiment. Compute the probabilites:

A male is selected, then a female
A female is selected, then a male.
Two males are selected.
Two females are selected.
No males are selected.

Answer 1

Explanation:

To compute the probabilities, simply multiply the two individual ones.

1. A male is selected, then a female.

`(11)/(25) *(14)/(25) =(154)/(625)\ or\ 24.64\%`

2. A female is selected, then a male.

`(14)/(25) *(11)/(25) =(154)/(625)\ or\ 24.64\%`

3. Two males are selected.

`(11)/(25) *(11)/(25) =(121)/(625)\ or\ 19.36\%`

4. Two females are selected.

`(14)/(25) *(14)/(25) =(196)/(625)\ or\ 31.36\%`

5. No males are selected.

`(14)/(25) *(14)/(25) =(196)/(625)\ or\ 31.36\%`