August 16, 2010

1 / 17

August 16, 2010 - PowerPoint PPT Presentation

August 16, 2010. Simple Probability. Warm-up.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

PowerPoint Slideshow about 'August 16, 2010' - fiona

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

August 16, 2010

Simple Probability

Warm-up

Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress? You go to a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category?

Warm-up

Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress?3 x 8 = 24 You go to a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category?

Warm-up

Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress?3 x 8 = 24 You go a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category?

3 x 3 x 4 = 36

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?
• 4/36 = 1/9

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?
• 4/36 = 1/9

Example 2:

What is the probability of drawing a king from a deck of cards?

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?
• 4/36 = 1/9

Example 2:

What is the probability of drawing a king from a deck of cards? 4/52 or 1/13

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?
• 4/36 = 1/9

Example 2:

What is the probability of drawing a king from a deck of cards? 4/52 or 1/13

Example 3:

What is the probability of drawing a queen of hearts from a deck of cards?

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

• Example 1:
• Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5?
• 4/36 = 1/9

Example 2:

What is the probability of drawing a king from a deck of cards? 4/52 or 1/13

Example 3:

What is the probability of drawing a queen of hearts from a deck of cards?

1/52

“OR”
• P(A or B) = P(A) + P(B)

Example: When you flip a fair coin and roll a number cube, what is the P(head or 4)?

P(head or 4) = ½ + 1/6 =

3/6 + 1/6 =

4/6 = 2/3

Example:

Alfred is going to the Lakeshore Animal Shelter to pick a new pet. Today, the shelter has 8 dogs, 7 cats, and 5 rabbits available for adoption. If Alfred randomly picks an animal to adopt, what is the probability that the animal would be a cat or a dog?

8/20 + 7/20

= 15/20 = 3/4

“And”
• P(A and B) = P(A) x P(B)
• Example: When you flip a fair coin and roll a number cube, what is the P(head and 4)?
• P(head, 4) = ½ x 1/6

= 1/12

Practice

13/104

• P(tails, four) =

4/104

Practice
• P(roll even #, spin odd) =

1/4

2. P(roll a 2, spin a 7) =

1/48

3. P(roll a 7, spin an even #) =

0