Math Problem Solver

A survey was done of a group of students, and it was found that

1/

3

of them walked to

school, and

2/

5

of them always ate breakfast. Of those that walked to school,

11/

30

always

ate breakfast.

(a) Find the probability that a student chosen at random from the group walks to school

and always eats breakfast. [2]

(b) Find the probability that a student chosen at random from the group always has

breakfast given that they do not walk to school. [2]

(c) Find the probability that a student chosen at random from the group does not walk to

school and does not always eat breakfast. [2]

(d) Determine with a reason whether the events of always eating breakfast and walking

to school are independent.