Question

Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random, find the probability of the following. (See Example 5. Round your answers to three decimal places.) (a) The student is enrolled in mathematics. (b) The student is enrolled in English. (c) The student is enrolled in both. (d) The student is enrolled in mathematics or English. (e) The student is enrolled in English but not in mathematics. (f) The student is not enrolled in English or is enrolled in mathematics.

Answer 1

Explanation:

Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random

the probability

(a) The student is enrolled in mathematics=
`(110)/(450) =0.244\\`

(b) The student is enrolled in English.=
`(205)/(450) =0.456\\`

(c) The student is enrolled in both.=
`(50)/(450) =0.111\\`

(d) The student is enrolled in mathematics or English.=
`(110+205-50)/(450) =0.589\\`

(e) The student is enrolled in English but not in mathematics.

=
`(205-50)/(450) =0.344\\`

(f) The student is not enrolled in English or is enrolled in mathematics.

=
`(450-205+110)/(450) =0.7889\\`