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WorksheetsCompound Events Sample Space
Total questions: 14
Worksheet time: 14mins
Draw a tree diagram in your math workbook. Then answer this question. A girls' choir is choosing a uniform for their concert. They can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. The shoes they need come in gold and black. Assuming all the colors go together, how many different combinations can the choir pick?
3 combinations
8 combinations
12 combinations
18 combinations
P(odd and A)
1/4
1/2
2/5
1/8
P(less than 5 and B)
1/6
1/48
6/48
1/8
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
1/36
2/39
5/41
6/43
Is the following compound event independent or dependent
P(1 and A)
Independent
Dependent
Which shows the sample space for flipping two coins?
H, T
HH, HT, TH, TT
HH, TT
Dime, Nickel
If you flip three coins, use a list to show how many outcomes are in the sample space. Then find the probability of getting heads, tails, heads.
HHH HHT HTH HTT THH THT TTH TTT
P(heads, tails, heads) = 1/8
HHH HHT HTH HTT THH THT TTH TTT
P(heads, tails, heads) = 2/8
HHH HHT HTH HTT THH THT TTH TTT
P(heads, tails, heads) = 1/4
HHH HHT HTH HTT THH THT TTH TTT
P(heads, heads, heads) = 1/8
A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham or turkey), and one type of cheese (cheddar or swiss). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting ham and swiss on white bread.
Sample Space: 8
Ham, Swiss, White: 1
P(Ham, Swiss, White) = 1/8
Sample Space: 6
Ham, Swiss, White: 2
P(Ham, Swiss, White) = 1/3
Sample Space: 4
Ham, Swiss, White: 2
P(Ham, Swiss, White) = 1/2
Sample Space: 12
Ham, Swiss, White: 1
P(Ham, Swiss, White) = 1/12
What is possible sample space for the compound event of a spinner with three equal sections labeled 1-3 and a coin?
(1,2, 3),(Heads, Tails)
(1, Heads), (1, Tails), (2, Heads), (2, Tails)
(1, Heads), (1, Tails), (2, Heads), (2, Tails), (3, Heads), (3, Tails)
(Heads, Tails), (1, 2, 3)
You flip a coin and spin the spinner above, how many possible outcomes are there?
4
6
8
2
What is the probability of spinning a yellow and rolling an odd number?
1/9
4/18
3/18
1/18
You are given a die, a coin, and bowl full of 10 marbles that contain 5 blue marbles and 5 green marbles. What is the probability of rolling a prime number, flipping tails, and picking a green marble?
15/120
20/120
3/18
10/18
The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the CORRECT Sample Space List of possible combinations?
TW, CW, PW
TW, TM, TC, CW, PW
TW, TM, CW, CM, PW, PM
TCP, MW
