**Paper 3 Higher - Sample Assessment Q12**

**Answers**

12) Sami asked 50 people which drinks they liked from tea, coffee and milk.

All 50 people like at least one of the drinks

Sami selects at random one of the 50 people.

(a) Work out the probability that this person likes tea.

(4 marks)

(b) Given that the person selected at random from the 50 people likes tea, find the probability that this person also likes exactly one other drink.

(2 marks)

All 50 people like at least one of the drinks

- 19 people like all three drinks.
- 16 people like tea and coffee but do not like milk.
- 21 people like coffee and milk.
- 24 people like tea and milk.
- 40 people like coffee.
- 1 person likes only milk.

Sami selects at random one of the 50 people.

(a) Work out the probability that this person likes tea.

(4 marks)

(b) Given that the person selected at random from the 50 people likes tea, find the probability that this person also likes exactly one other drink.

(2 marks)

**(Total for Question 12 is 6 marks)****Answers**

Question |
Answer |
Notes |

12 a |
44/50 |
M1 - Begin to interpret given information e.g. 3 overlapping labelled ovals with central region correct M1 - Extend interpretation of given information e.g. 3 overlapping labelled ovals with at least 5 regions correct M1 - Method to communicate given information e.g. 3 overlapping labelled ovals with all regions correct including outside A1 - oe |

12 b |
21/44 |
P1 - For correct process to identify correct regions in Venn diagram and divide by '44' A1 |