Question

The psychology lab at a college is staffed by 8 male doctoral students, 6 female doctoral students, 16 male undergraduates, and 9 female undergraduates. If a person is selected at random from the group, find the probability that the selected person is an undergraduate or a female.

Answer 1

Answer:

$\frac{31}{39}$

Explanation:

The computation of the probability of the selected person is undergraduate or a female is shown below:

Total person in psychology lab

= Male doctoral students + female doctoral students + male undergraduates + female undergraduates

= 8 + 6 + 16 + 9

= 39

Now the probability would be

= (Female doctoral students  + male undergraduates + female undergraduates) ÷ (Total persons)

$=\frac{6}{39} + \frac{16}{39} + \frac{9}{39}$

= $\frac{31}{39}$