Probability: Outcomes and Events Lesson 1

Probability: Outcomes and Events Lesson 1

NC.7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.

Outcomes and Events

Objective: You will be able to identify and count the outcomes of experiments

An experiment?

An experiment is the process of investigating something where we may test or look for something, make observations, and collect data....

... but this isn't Science! ??

Whether we are doing scientific experiments or investigating the possibilities of something happening, these processes are still experiments.

Experiment

'an investigation or procedure that has varying results'

Mathematical Experiments

we want to find the possibility that a particular event will occur

Let's say we want to choose a marble from this group...

More specifically, let's say we want to choose a yellow marble...

the act of choosing a yellow marble is an event

Outcomes:

• Favorable Outcomes - these are the number of times a specific event will occur

• Possible Outcomes - these are the total number of outcomes, including favorable and unfavorable outcomes

• the collection of one or more outcomes is an event

Let's say again that we want to choose a yellow marble...

• what is the favorable outcome?

• what is the number of possible outcomes?

What are the number of favorable outcomes of choosing a yellow marble?

What is the number of possible outcomes?

think about ALL of the marbles

Multiple Choice

What is an experiment?

• testing things during Science class only

• any investigation or procedure that has varying results

• only when we are choosing marbles

• any exercise that involves vigorous activity and raising the heart rate

Multiple Choice

What is a event?

• a collection of one or more outcomes

• a collection of marbles

• a collection of favorable outcomes

• a collection of unfavorable outcomes

Multiple Choice

Randy closes his eyes and chooses a marble from the bowl. He wants to choose a red marble. Him choosing a red marble is an example of:

• a trick

• an unfavorable event

• a favorable event

• all possible events

Let's say you want to choose a black pair of jeans...

What is the number of favorable outcomes?

What is the number of possible outcomes?

Let's say you would like to choose a chocolate cookie...

What is the number of favorable outcomes?

What is the number of possible outcomes?

Let's say you want to roll an even number...

What is the event?

What would be a favorable outcome?

Let's say you want to roll an even number...

Rolling the die each time would be an event.

A favorable outcome would be rolling an even number.

What are the favorable outcomes of rolling an even number?

What are the favorable outcomes of rolling an even number?

Rolling a 2, 4, or a 6

Multiple Select

Sam wants to choose a green m&m... What is the favorable outcome?

• choosing a blue m&m

• choosing three skittles

• choosing a m&m of any color

• choosing a green m&m

Multiple Select

Sam wants to choose a green m&m... What are the possible outcomes?

• choosing a blue m&m

• choosing three skittles

• choosing a m&m of any color

• choosing a green m&m

Multiple Select

Sam wants to choose a green m&m... What is the number of favorable outcomes?

• 3 out of 18 possible outcomes

• 3 impossible outcomes

• 18 possible outcomes

• 15 out of 18 possible outcomes

Multiple Select

If you spent this spinner, how many possible outcomes are there?

• 8

• 3

• 7

• 2

Multiple Select

How many ways could spinning a red occur?

• 8 ways

• 3 ways

• 6 ways

• 2 ways

Multiple Select

In how many ways could spinning a blue not occur?

• 8 ways

• 3 ways

• 7 ways

• 2 ways

Multiple Select

What would be the favorable outcomes if we did not want to spin a blue?

• red, green, pink, yellow, brown, grey

• red, red, green, pink, yellow, brown, grey

Multiple Choice

You randomly choose a marble... How many possible outcomes are there?

• 5

• 30

• 6

• 100

Multiple Choice

You randomly choose a marble... In how many ways can choosing an orange occur?

• 5

• 30

• 6

• 100

Multiple Choice

You randomly choose a marble... In how many ways can not choosing an orange occur?

• 5

• 30

• 6

• 25

Multiple Choice

What are the favorable outcomes of choosing a vowel? (a,e,i, o, u)

• choosing an E; choosing a O

• choosing all 7 letters

• choosing a H, L, R, B, or T

• not choosing a letter