Compound Events Sample Space

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