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

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august 16 2010

August 16, 2010

Simple Probability

warm up
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 up1
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 up2
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

slide6

Simple Probability

probability of an event or P(event)

is

number of favorable outcomes

total number of possible outcomes

slide7

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?
slide8

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
slide9

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?

slide10

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

slide11

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?

slide12

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

slide13
“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

slide14
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

slide15
“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
Practice
  • P(heads, hearts) =

13/104

  • P(tails, four) =

4/104

practice1
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