PROBABILITY 3

Probabilities can be calculated using information given on a Venn diagram.

In a survey, 25 students are asked if they like banana ice-cream (B) and if they like chocolate ice-cream (C). The Venn diagram shows the results.

CB

6 8 9

2

a A student is chosen at random. Find the probability that they like both banana and chocolate ice-cream.

Probability =

8

25

b A student who likes chocolate ice-cream is chosen at random. Find the probability that they also like banana ice-cream

Probability =

8

17

Probability =

14

25

13

24

c Two students are chosen at random. Find the probability that they both like banana ice-cream

91

300

In a survey, 25 students are asked if they like banana ice-cream (B) and if they like chocolate ice-cream (C). The Venn diagram shows the results.

CB

6 8 9

2

Probability =

14

25

11

24

11

25

14

24

d Two students are chosen at random. Find the probability that only one of the students likes banana ice-cream

91

300

first student likes banana and the second student does not

first student does not like banana and the second student does