In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. if a student is selected at random, find the probability of selecting the following.

a. a junior or a female
b. a senior or a female
c. a junior or a senior

a) 0.857

b) 0.571

c) 1

Step-by-step explanation:

Based on the data given, we have

The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have

Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.