Answer to Question #127378 in Discrete Mathematics for tharushika

Question

In a certain group of 15 students, 5 have graphics calculators and 3 have a computer at home (one student has both). Two of the students drive themselves to college each day and neither of them has a graphics calculator nor a computer at home. A student is selected at random from the group.

Let G represent the event “the student has a graphics calculator”, H represent the event “the student has a computer at home”, D represent the event “the student drives to college each day”

Represent the information in this question by a Venn diagram. Use the above Venn diagram to answer the questions.

(a)Find the probability that the student either drives to college or has a graphics calculator.

Answer 1

$P=\frac{N_G+N_D}{N_{group}}=\frac{5+2}{15}=\frac{7}{15}$