Sample Spaces
List the sample space for rolling a single die.
1, 2, 3, 4, 5, 6
What is the probability of rolling a 6 on a fair die?
1/6
If P(A) = 0.3, what is P(not A)?
0.7
Write an expression for “double your age.”
2a
For v = u + at, find v if u = 2, a = 3, t = 4.
14
Picking a counter out of a bucket filled with red, blue and yellow counters – what is the sample space?
Red, Blue, Yellow
Jane picks a number from 5 to 13. What’s the probability she chooses a 10?
1/9
A coin is flipped. What is the probability it does not land heads?
0.5
Write an expression for “a third of your age.”
a/3
If y = 3x + 2, find y when x = 5.
17
List the even numbers between 10 and 20 (inclusive).
10, 12, 14, 16, 18, 20
Chris has lost 15 out of 25 matches. What’s the probability that Damo wins the next match?
0/25 = 2/5
The chance of rolling an even number on a die is 1/2. What’s the chance of not rolling an even number?
1/2
Joe’s age is two more than twice Kate’s age. Write an expression for Joe’s age.
2k + 2
The formula for area of a rectangle is A = l × w. Find A if l = 6 and w = 9.
54
If a coin is tossed twice, what’s the sample space?
HH, HT, TH, TT
In a cup with 3 colours of balls, what is P(red or green)?
2/3
The probability of rain tomorrow is 20%. What’s the probability it won’t rain?
80%
If m = 4, n = –3, y = 10, evaluate 2m + n – y.
2(4) + (–3) – 10 = –5
Use the formula C = 2πr. Find C when r = 7 (use π ≈ 3.14).
44.0
How many outcomes are there when rolling two dice?
36
A spinner is divided into 8 equal sections numbered 1–8. What’s the probability of spinning a number bigger than 5?
3/8
A spinner has 8 equal sections. P(landing on red) = 3/8. What is P(not red)?
5/8
Translate into algebra: “Two hundred decreased by your height.”
200 – h
The stopping distance formula is d = v × t. Find d if v = 60 and t = 0.5.
30