Probability and Counting Principle

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

• 1

• 1_/2

• 1/₄

• 1/8

How many outcomes are there with tossing a coin and rolling a dice?

• 2

• 6

• 12

• 24

Which shows the sample space for flipping two coins?

• H, T

• HH, HT, TH, TT

• HH, TT

• Dime, Nickel

What is sample space?

• a process with an uncertain result

• a possible result of an action

• a list of all possible outcomes of an event

• a single outcome or group of outcomes

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

Action: Roll a die

Event: Roll a number less than 4

Which outcomes are part of the event?

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5

• 1, 2, 3, 4

• 1, 2, 3

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

What is the probability that player A and Player B will not tie?

• 3/9

• 6/9

• 2/9

• even chance

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a number higher than 3 and flipping a tails?

• ¹/₁₂

• ²/₁₂

• ³/₁₂

• ⁴/₁₂

What is the sample space?

• 6 bears

• orange, green, red, white, yellow

• unlikely

• 2 red bears