Show:
Unit Vocabulary
Likelihood
Actions, Events and Sample Space
Relative Frequency and
Experimental Probability
Theoretical Probability
100

In probability situations, an _________ is a process with an uncertain result.

In probability situations, an ACTION is a process with an uncertain result.

100

Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN

You flip a coin and it lands on tails.

AS LIKELY AS NOT

There is a 50% chance it is heads
There is a 50% chance it is tails

It is AS LIKELY to land on tails AS it is to NOT

100


ACTION: Spin the spinner once

What is the sample space for the action?

How many possible outcomes are in the sample space?

Sample Space: 1, 2, 3, 4

Possible Outcomes: 4

100

Complete the blanks entirely for credit. Each blank is a word.

Experimental Probability is the likelihood that an event will occur based on its ________ _________.
(times the event occurs / total _______)




Experimental Probability is the likelihood that an event will occur based on its RELATIVE FREQUENCY

(times the event occurs / total TRIALS)

100

Based off of your class notes, fill in the blanks to complete the equation for THEORETICAL PROBABILITY.

# of ____ Outcomes / # of ____ Outcomes

Theoretical Probability is equal to

# of FAVORABLE Outcomes / # of POSSIBLE Outcomes

200

A possible result of an action

An OUTCOME is a possible result of an action

200

Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN

The earth will rotate around the sun

CERTAIN

200

EVENT: Choose a boy

What is the sample space for the event?

How many outcomes are in the sample space?

Sample Space: Chris, Alex, Steve

Possible Outcomes: 3

200

The table show the results of rolling a number cube 100 times. 

What is the RELATIVE FREQUENCY of the event "roll a 2"? 

Relative Frequency = 14 times rolling two / 100 rolls

Relative Frequency = 14/100 = 7/50

Relative Frequency = 0.14

Relative Frequency = 14%

200

P(blue-button)=6/12=1/2

P(blue-button)=0.5

P(blue-button)=50%

300

The set of all possible outcomes 

The SAMPLE SPACE is the set of all possible outcomes

300

Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN

A tiger will fly

IMPOSSILBLE

300

EVENT: Throw a dart and hit an odd number

What is the sample space for the event?

How many possible outcomes are in the sample space?

Sample Space: 1,3,5,7,9,11,13,15,17,19

Possible Outcomes: 10

300

The table shows the class's results for spinning the spinner 40 times. 

Based on these results, if the class were to spin another 40 times, what is the EXPERIMENTAL PROBABILITY of spinning a number less than 3.

P(<3)=22/40

P(<3)=11/20

P(<3)=0.55

P(<3)=55%

300

Which of the following shows THEORETICAL PROBABILITY?


II. A teacher chooses 1 student at random from a class of 13 boys and 12 girls.
P(boy)=13/25

There are 13 boys - favorable outcomes
There are 25 students - possible outcomes (boys and girls)


400

-The likelihood something is to occur based on logic and reasoning.

-Favorable Outcomes / Possible Outcomes

THEORETICAL PROBABILITY is the likelihood an event will occur.

Favorable Outcomes / Possible Outcomes

400

Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN

Your friend will win the jackpot in the lottery

UNLIKELY

400

Event: Roll a multiple of 2

What is the sample space for the event?

How many possible outcomes are in the sample space?

Sample Space: 2,4,6

Possible Outcomes: 3

400

The table shows the results of rolling a number cube 100 times. 

Based on the results, write the experimental probability of the event "roll a factor of 2" as a fraction, decimal and percent.

1 and 2 are both factors of 2. We rolled a 1 22-times and a 2 14 times. We rolled a factor of 2 36 times out of the 100 rolls. 

P(Multiple of 3)=36/100

P(Multiple of 3)=0.36

P(Multiple of 3)=36%

400

You choose 1 card at random.

What is the theoretical probability of choosing a card with an odd number and a hand?

P(odd+hand) = 2/8 = 1/4 = 0.25 = 25%

500

-The likelihood an event will occur based on its relative frequency

-times the event occurs / total trials

EXPERIMENTAL PROBABILITY describes the likelihood an event will occur based on its relative frequency

-times the event occurs / total trials

500

Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN

We will do a lesson in Peardeck next week.

LIKELY

500

Event: Choose a heart

What is the sample space for the event?

How many possible outcomes are in the sample space?

Sample Space: 

2h,3h,4h,5h,6h,7h,8h,9h,10h,Jh,Qh,Kh,Ah

Possible Outcomes: 13

500

P(sprinkles) = 6/16 = 3/8

P(sprinkles) = 0.375

P(sprinkles) = 37.5% Rounded: 38%

500

You choose 1 marble at random. What is the theoretical probability that you choose a marble that is not red? Write your answer 3 ways

P(G/B) = 11/20 = 0.45 = 45%