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Transcript
PROBABILITY (Chapter 10)
239
7 A person plays a game with a pair of coins. If a double head appears, $10 is won. If a
head and a tail appear, $3 is won. If a double tail appears, $5 is lost.
a How much would a person expect to win playing this game once?
b If the organiser of the game is allowed to make an average of $1 per game, how
much should be charged to play the game once?
8 A single coin is tossed once. If a head appears you win $2 and if a tail appears you lose
$1. How much would you expect to win from playing this game three times?
INVESTIGATION 2
ROULETTE
Click on the icon to obtain a printable worksheet on the
expected returns from playing the game of roulette.
PRINTABLE
WORKSHEET
REVIEW SET 10A
1 Ninety three people arriving at the beach are asked their
age. The results are shown opposite. Assuming they give
correct replies, what is the probability that a randomly
selected person on the beach will be aged:
a 30 or more
b between 10 and 30?
Age
0-9
10 - 19
20 - 29
30 - 39
40+
Frequency
17
25
26
20
5
2 A netball goalshooter has probability 34 of scoring a goal each time she shoots. If
she has 52 shots at goal, how many goals would you expect her to score?
3 What is meant by saying that two events are independent ?
4 A coin is tossed and a die is rolled simultaneously.
a Illustrate the sample space on a grid.
b Find the probability of getting:
i a head and an even number
ii a head and a non-3
iii a 5 or a 6
iv a head or an even number.
5 Three coins are tossed simultaneously.
a Using H for a head and T for a tail, list the possible results which could occur.
b Find the probability of getting:
i two heads and a tail
ii at least one head.
cyan
magenta
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Y:\HAESE\IB_MYP4\IB_MYP4_10\239IB_MYP4_10.CDR Tuesday, 18 March 2008 1:37:42 PM PETERDELL
100
50
75
25
0
5
95
100
50
75
25
0
5
d only Peter hits the green.
95
c at least one hits the green
100
b neither hits the green
50
a both hit the green
75
25
0
5
95
100
50
75
25
0
5
6 In a golf match, Peter has a 70% chance of hitting the green
when using a nine iron. Paula has a 90% chance when using the
same club. If, at a particular hole, they both elect to use a nine
iron to play to the green, determine the probability that:
black
IB MYP_4