A finite math class of 50 students is composed of freshmen and sophomores according to the table below. A student from the class is selected at random.
Freshmen | Sophomores | |
Females | 12 | 8 |
Males | 14 | 16 |
a) What is the probability that the selected student is either a male or a freshman?
b) What is the probability that the selected student is neither a female nor a sophomore?
data | Freshmen | Sophomores | Total |
Females | 12 | 8 | 20 |
Males | 14 | 16 | 30 |
Total | 26.00 | 24.00 | 50 |
(a) P(either male or freshman) = P(male) + P(freshman)- P(male & freshman)
P(either male or freshman) = 30/ 50 + 26/50 - 14/50 = 42 / 50 = 0.840
P(either male or freshman) = 0.840
(b) P(neither femle nor a sophomore) = 14/ 50 = 0.28
P(neither femle nor a sophomore) = 0.28
A finite math class of 50 students is composed of freshmen and sophomores according to the...
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