Question

In a random sample of 200 college students, 110 were females,125 were under the age of 21 years of age, and 45 males were 21 years of ageor older. A student is selected at random from the sample.What is the probability that a female student age 21 or older is selected?a. 15%b. 20%c.85%d.90%

Answer 1

Answer: Option 'a' is correct.

Explanation:

Since we have given that

Total number of students = 200

Number of females = 110

Number of students under the age of 21 years of age = 125

Number of males under the age of 21 years or older = 45

So, it becomes

Males Females Total

21 years 45 80 125

21 years or older 45 30 75

Total 90 110 200

So, Probability that a female student age 21 or older is selected is given by

`(30)/(200)=0.15=15\%`

Hence, Option 'a' is correct.