Question

Researchers sampled 178 young women who recently participated in a STEM program. Of the 178 STEM​ participants, 110 were in urban​ areas, 56 in suburban​ areas, and 12 in rural areas. If one of the participants is selected at​ random, what is the probability that she is from an urban​ area? Not a rural​ area?

Answer 1

Probability from Urban Area =
`(55)/(89)`

Probability NOT from Rural Area =
`(83)/(89)`

Explanation:

Total 178

Urban 110

Suburban 56

Rural 12

Hence, probability of x is number of x divided by total.

So, probability that she is from an urban area = 110/178 = 55/89

And

probability NOT a rural area (means urban and suburban which is 110+56=166) = 166/178 = 83/89