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

Step-by-step explanation:

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

1. A male is selected, then a female.

$\frac{11}{25} *\frac{14}{25} =\frac{154}{625}\ or\ 24.64\%$

2. A female is selected, then a male.

$\frac{14}{25} *\frac{11}{25} =\frac{154}{625}\ or\ 24.64\%$

3. Two males are selected.

$\frac{11}{25} *\frac{11}{25} =\frac{121}{625}\ or\ 19.36\%$

4. Two females are selected.

$\frac{14}{25} *\frac{14}{25} =\frac{196}{625}\ or\ 31.36\%$

5. No males are selected.

$\frac{14}{25} *\frac{14}{25} =\frac{196}{625}\ or\ 31.36\%$