Sample Space, Event, and Probability

Learning Objective: to determine the outcomes and probabilities of events occurring.

Warm-up (IN)

Determine Combination or Permutation:1. The recently elected university president

named 3 new officers: a VP of finance, a VP of academic affairs, and a VP of student affairs.

2. A university president selected 2 of the presidents to attend the dedication ceremony of a new branch campus.

Notes!

The list of possible outcomes of an experiment

a certain outcome of an experiment

an organized way to represent a sample space

Ex 1 - List the sample space for flipping a coin 2 times:

Sample Space, S -

Event -

Tree Diagram -

Ex 2 - List the sample space for tossing 2 dice (use a chart)

Ex 4 - A family plans on having 3 children. What is the probability of having 2 boys? (Try a tree)

# of total possible outcomes in the sample space

Ex 3 - Using the sample space in Ex 2...

b) A sum less than 4 turns up?

c) A sum of 12 shows up?

a) What is the probability a sum of 7 shows up?

Probability - # of favorable outcomes

6

361

6

3

361

12

1

36

Ex 5 - In a jar of candy 8 are cherry, 5 are lime, and 12 are grape. Find the probability of...

a) picking a lime candy?

b) picking 1 cherry and 1 lime (not replacing the 1st candy)?

c) picking a cherry or grape?

5

251

5

8

255

25 1

15

8

2512

25 20

25 4

5

HW – pg. 402-403 #3,4,9,10,21-32

Out – Find the probability of picking an ace out of a deck of 52.

Summary - I feel ______ about the fact that this is the last summary I will write this year!

Don’t forget about POW!!