Topic 18 Compound Events

Which action involves two steps?

• Roll two number cubes.
• Choose one CD from a store.
• Flip a coin three times.
• Roll four number cubes.

Find a compound event for rolling a number cube 5 times.

• (2, 6, 2)
• (4, 1, 1, 5)
• (1, 2, 5, 4, 5)
• (2, 3)

Which compound event if composed of dependent events?

• Choosing any two color cards from a stack, without replacing the card after you choose.  (Red, Pink)
• Choosing any two color cards from a stack, replacing the card after you pick. (Orange, Orange)

Three friends at a restaurant order a different flavored fruit drink.  The available flavors are watermelon (W), peach (P), and orange (O).  Which is an organized list of the friends' fruit drinks?

• (W, P, O); (W, O, P); (P, W, O); (P, O, W); (O, W, P); (O, P, W)
• (W, P, O); (P, O, W); (O, W, P)
• (W, P, O); (W, O, P); (W, W, W); (P, W, O); (P, O, W); (P, P, P); (O, W, P); (O, P, W); (O, O, O)

A restaurant offers 7 appetizers and 12 main courses.  How many ways can a person order a two-course meal?

• 84
• 19
• 12
• 96

How many combinations can you make with the number 3215 and the word MATH?

• 8
• 16
• 24
• 36

You are creating a 3-letter password using the letters S, P, L, and N without repeating any letter.  List the possible outcomes in the sample space. How many begin with the letter S?

• (SPL, SPN, SLN, SSS, PLN, PPP, LLL, NNN); 3
• (SPL, SPN, SLP, SLN, SNP, SNL, PSL, PSN, PLS, PLN, PNS, PNL, LSP, LSN, LPS, LPN, LNS, LNP, NSP, NSL, NPS, NPL, NLS, NLP); 6

The sample space shows the possible outcomes of picking two cards out of 5 different colored cards, red (R), green (G), blue (B), yellow (Y), and purple (P).  Find the probability of picking one purple card and one blue card.

• 1/2
• 3/20
• 2/20
• 1/10

How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

• 7
• 5
• 10
• 12

This is the tree diagram for choosing a vowel (a, e, i, o, u) and then a number (1, 2, 3).  What is the probability of getting o and 2?

• 1/5
• 1/15
• 3/15
• 3/5