Probabilities

Probabilities

Sample Space

Learning Goals

• Generalize the relationship between the probability of an event and the number of possible outcomes in the sample space, for an experiment in w

• List (in writing) the sample space of a simple chance experiment.

• Use the sample space to determine the probability of an event, and express it as a fraction, decimal, or percentage.

Sample Space

• A sample space is a collection or a set of possible outcomes of a random experiment.

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Today, you will examine experiments to determine the set of outcomes in the sample space and then use the sample spaces to think about the likelihood of the events

Ready?!

For each situation, list the sample space and tell how many outcomes there are

Aneres rolls a standard number cube once

Kaizen spins this spinner once.

List the sample space and how many outcomes

Open Ended

Hattie selects a letter at random from the word “MATH.”

List the sample space and tell how many outcomes there are.

Open Ended

Jordee picks a card at random from a stack that has cards numbered 5 through 20.

List the sample space and tell how many outcomes there are.

Multiple Choice

Use the sample space to determine the probability of an event, and express it as a fraction, decimal, or percentage.

What is the probability of roliing a 3 on a number cube?

• $\frac{3}{6}$

• $\frac{1}{6}$

• $\frac{2}{4}$

Multiple Select

What is the probability of landing on heads when a coin is tossed? Select ALL that applies.

• 25%

• 50%

• $\frac{1}{2}$

Multiple Choice

How many outcomes are in the event that a vowel chosen from the English alphabet

• $\frac{1}{26}$

• $\frac{5}{26}$

• $\frac{4}{26}$