Dealing with Data

Probability

What’s the probability? What’s the probability of the

spinner stopping in the yellow section. (All the sections are equal.) P(yellow) = ____

What’s the ProbabilityProbabilities:   P(yellow)  =  number of ways to land on yellow  =  1

total number of colors   4 

P(blue)  =  number of ways to land on blue  =  1 total number of colors   4   

P(green)  =  number of ways to land on green  =  1 total number of colors   4 

 P(red)  =  number of ways to land on red  =  1 total number of colors   4 

What’s the probability? What’s the probability of the

spinner stopping at orange? P(orange) = ________

What’s the probability? What’s the probability of the

spinner stopping at orange? P(orange) = 0 = 0 4

This is also called an IMPOSSIBILITY!

What’s the probability? What’s the probability of the

spinner stopping at yellow, blue, red or green?

P(yellow,blue,red or green) = _____

What’s the probability? What’s the probability of the spinner

stopping at yellow, blue, red or green?

P(yellow, blue, red or green) = 4 = 1

4

This is called a CERTAINTY!

What’s the Probability?

The spinner stops on red. The probability of red is ¼ P(red) = ¼

What is the complement of the probability of red?

What’s the Probability? The spinner stops on red. The probability

of red is ¼ P(red) = ¼ What is the complement of the

probability of red?

Together the event and the complement MUST equal 1. The P(red) = ¼ therefore, the complement must be ¾ or the P(yellow, blue or green) = 3/4

What’s the probability?

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble?

What’s the probability? A glass jar contains 6 red, 5 green, 8

blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? P(red) = 6/22 or 3/11

A green marble? P(green) = 5/22 A blue marble? P(blue) = 8/22 or

4/11 A yellow marble? P(yellow) = 3/22

What’s the probability?

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. What’s the probability of getting a red OR a green marble?

P(red or green) = ________

What’s the probability?

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. What’s the probability of getting a red OR a green marble?

P(red or green) = 11/22 or 1/2

What’s the sample space?

When you throw a dice, what is the sample space?

What’s the sample space?

When you throw a dice, what is the sample space?

Sample space is all the possible options so the sample space for throwing a die is 1, 2, 3, 4, 5 or 6.

What’s the sample space?

When you throw a dice and toss a coin, what is the sample space?

What’s the sample space?

When you throw a dice and toss a coin, what is the sample space?

(head,1), (head,2), (head,3), (head,4), (head,5), (head,6)(tail,1), (tail,2), (tail,3), (tail,4), (tail,5), (tail,6)

12 outcomes in the sample space

What’s the sample space?

You throw a die and toss a coin. What’s the probability of getting a head and a 6?

P(head and 6) = ______

What’s the compound probability? You throw a die and toss a coin.

What’s the probability of getting a head and a 6?

(head,1), (head,2), (head,3), (head,4), (head,5), (head,6)(tail,1), (tail,2), (tail,3), (tail,4), (tail,5), (tail,6)

Only 1 chance in 12 to get a head and 6 so the probability is 1/12.

What’s the sample space?

Besides listing all of the items, what’s another way to determine how many items are in the sample space?

What’s the sample space?

Besides listing all of the items, what’s another way to determine how many items are in the sample space?

2 outcomes on coin toss.6 outcomes on die.2 x 6 = 12 outcomes in sample space.