Initial Diagnostic Audit - Unit D1: Probability of One Event Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section D1.1 - Probabilities
1.
If you roll a dice 120 times, how many 6s would you expect to get?
2.
If you toss a fair coin 100 times, how many times would you expect to get a HEAD?
3.
Indicate the probability for each event below;
(a) Brazil will win the next Football Wolrd Cup
Impossible Unlikely
Likely Certain
(b) You throw an 8 with a normal dice.
Impossible Unlikely
Likely Certain
(c) It will snow on October 1st next year.
Impossible Unlikely
Likely Certain
Section D1.2 - Straightforward Probability
4.
5.
A train is late for 0.1 of its journeys. What do you think is the probability of it being on time tomorrow?Give your answer as a decimal.
6. A football team plays 40 games in the season. The probability of the team winning any game is estimated
as 3 . 8
(a) How many games do you think the team will win?
The probability of them drawing any game is estimated as
1 . 4
(b) How many games do you think they will draw?
Section D1.3 - Finding Probabilities Using Relative Frequency
7.
Your bus to town is late 5 times in a 4-week period (Monday to Friday).
8.
It rained on 12 of the last 30 days.
9.
Five students play table tennis regularly. The number of games each student has won is given in the table below.
Player Games Won Games Lost Tom 12 9
(a) Who is the best player?
Tom Steve
Debbie Eva Liz
(c) If Tom played Liz, who would you expect to win?
Tom Liz
Section D1.4 - Determining Probabilities
10.
A card is taken from a pack of 52 playing cards.
11. A fair dice is rolled once. What is the probability of obtaining
