Education kit: What are the odds? - Powerhouse Museum

Answers
Calculating probabilities
1. There are 2 possibilities out of 6, that is 2_ 6 = 1_ 3
2. a. 1__
12
b. 5__
12 c. 1_ 2
3. Tossing a head
4. a. 1__
52
b. 13__
52 = 1_ 4
d. 8__
12 = 2_ 3
c. 4__
52 = 1__
13
d. 26 __
52 = 1_ 2
What are the odds?
e. 2__
52 = 1__
26
d. 4-__
52 = 1__
13
ii. 10 __
5. a. Black, there’re more black discs than red b. i. 8__
18 = 4_ 9 18 = 5_ 9
iii. 18 __
18 = 1 iv. 0__
18 = 0 c. 8__
18 = 4_ 9 d. i. The bag now contains 8 red and
9 black discs. Probability of black is 9__
17 ii. 8__
17
6. a. i. 1_ 4 ii. 2_ 4 = 1_ 2 iii. 2_ 4 = 1_ 2
Poker machines
1. a. 2__
10 = 1_ 5
2. a. 1__
10
3. a. 3__
10
x
2__
10
x
1__
10
b. 3__
10
b. 2__
10 = 1_ 5
d. 2__
10
x
2__
10
x
2__
10 =
____ 6
1000
____ 8
1000
____ 1
1000
4. a. 1__
10
x
1__
10
x
1__
10
c. 0
= b. 1__
10
b. H and T c. i. 5 ii. 10
x
1__
10
x
2__
10
= b. i. 1 ii. 10
5. a. $45 000 b. $15 000
6. 20 __
32 = 5_ 8
7. 20 __
32
x
20 __
32
x
21 __
32
x
23 __
32
x
24 __
32 = 0.138
= c. 3__
8. Cherries
9. a. 1__
32
x
1__
32
x
1__
32
x
1__
32
x
1__ __________ 1
32 = b. 5.3 years
Scratch lotteries
1. a. $1 920 000 b. one million, nine hundred and twenty thousand
dollars
2. $144 000
3. a. $300 000 b. 30 125 c. 27 750 d. 166 500 e. $100 000
f. $1 116 125
4. $659 875
5. The government
6. 34.4%
7. 0.267
8. Yes
_______ 2
9. 960 000 =
_______ 1
480 000
33 554 432
____ 2
1000
10
x
3__
10
x
3__
10 =
____ 27
1000
EDUCATION KIT 38