Lesson 12.8, For use with pages 694-700

2. You choose an M or P.

1. You choose an O.

You choose a card at random from a bag which contains cards with the letters in the word MONOPOLY. Find the ODDS.

Lesson 12.8, For use with pages 694-700

2. You choose an M or P.

1. You choose an O.

ANSWER 35

You choose a card at random from a bag which contains cards with the letters in the word MONOPOLY. Find the ODDS.

ANSWER 26

13=

Dependent & Independent Events

Section 12. 8

Essential Questions

• What are the differences between permutations and combinations?

• What are the differences between odds and probability?

• How is probability used to make predictions?

• What are the differences between experimental and theoretical probabilities?

EXAMPLE 3Finding Probability of Dependent Events

Bingo

SOLUTION

You need B7 and N44 for bingo. Find the probability of success when each of the next 2 numbers is drawn. Then multiply.

You are playing the bingo card shown. The caller has 50 numbers left to call. What is the probability that you will get bingo with the next 2 numbers called?

EXAMPLE 3Finding Probability of Dependent Events

P(B7 or N44) = 125

There are 50 numbers left to call. Multiply the probabilities.

P(remaining number) = 149

There are 49 numbers left to call.

P(both numbers) = 125

149

= 12251

ANSWER

The probability that you will get bingo when the next2 numbers are called is, or about 0.0008.

12251

250

=

• Use a tree diagram to figure the probability

• The weather forecast for the weekend is for 20% chance of rain on Saturday and a 60% chance of rain on Sunday. Find the probability:– It will rain both days.– It will NOT rain either day.– It will rain only one day of the weekend.

• Use a tree diagram to figure the probability

• The weather forecast for the weekend is for 20% chance of rain on Saturday and a 60% chance of rain on Sunday.

Rain

No rain

Rain

No rain

Rain

No rain

Saturday Sunday

0.20

0.80

0.60

0.40

0.60

0.40

Rain

No rain

Rain

No rain

Saturday Sunday

Rain

No rain

0.20

0.80

0.60

0.40

0.60

0.40

• Find the probability:– It will rain both days.– It will NOT rain either day.– It will rain only one day of the weekend.

0.20 x 0.60 = 0.12

0.80 x 0.40 = 0.32

0.20 x 0.40 = 0.08 0.80 x 0.60 = 0.48

0.08 + 0.48 = 0.56

• While shooting free throw, Seth has an 80% chance of making his first free throw, but only a 60% chance of making the second free throw. Find the probability:

--- he will make both free throws.

--- he will make the first an miss the 2nd.

--- he will miss both shots.

While shooting free throw, Seth has an 80% chance of making his first free throw, but only a 60% chance of making the second free throw.

Miss

Make

Miss

Make

Miss

Make

First Second

0.20

0.80

0.40

0.60

0.40

0.60

Miss

Make

Miss

Make

Miss

Make

First Second

0.20

0.80

0.40

0.60

0.40

0.60

• Find the probability:– he will make both free throws.– he will make the first and miss the 2nd.– he will miss both shots.

0.8 x 0.6 = 0.48

0.8 x 0.4 = 0.32

0.2 x 0.4 = 0.08

Animated Math• Go to:

– www.classzone.com– Select your book (lower left hand book)– Animations– Chapter 10-13

– Chapter 12: Independent and Dependent Events

Homework

• Worksheet 12.8