a coin is flipped 5 times in a row. each time it lands on either heads or tails. how many different...

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A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible? In how many of the above results does every flip result in a head? Warm-Up: May 23, 2012

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Page 1: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?

In how many of the above results does every flip result in a head?

Warm-Up: May 23, 2012

Page 2: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Homework Questions?

Page 3: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

ProbabilitySection 12-3

Page 4: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Any event has multiple outcomes. The desired outcome is called a success. Any other outcome is called a failure. Probability is the ratio of successes to total

outcomes. 0 ≤ P ≤ 1 When all outcomes are equally likely, we

say the outcomes occur at random.

Probability

Page 5: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

s = number of ways an event can succeed f = number of ways an event can fail

Probability Formula

outcomes possible of # total

outcomes successful of #

fs

sP

Page 6: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

What is the probability of rolling a sum of 7 with two dice?

Example 1

1/6

Page 7: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

When a coin is tossed five times, what is the probability that every flip comes up heads?

You-Try #1

1/32=0.03125

Page 8: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Steve has a collection of 26 books – 16 are fiction, and 10 are nonfiction. He randomly chooses 8 books to take with him on vacation. What is the probability that he chooses 4 fiction and 4 nonfiction?

Example 2

0.24464

Page 9: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Stanley (Mr. Szwast’s nephew) has a collection of 15 DVD’s – 11 are animated, and 4 are live-action. He randomly chooses 3 movies to take with him to his grandparents’ house. What is the probability that he chooses 2 animated movies and 1 live-action movie?

You-Try #2

44/91 = 0.48352

Page 10: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

The odds that an event will occur is the ratio of the number of successes to the number of failures.

Odds

f

sfsOdds :

Page 11: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Find the odds of an event that has a 5/7 probability to occur.

Example 3

Page 12: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Find the probability of an event that has 4:3 odds.

You-Try #3

Page 13: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Page 648 #19-53 odd, 54

Assignment

Page 14: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

A Yahtzee is when five dice are rolled and all show the same number. What is the probability of rolling a Yahtzee on a single roll of the five dice? Express your answer as a percent rounded to three decimal places.

Warm-Up: May 24/25, 2012

0.077%

Page 15: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

Chapter 11 Test

Page 16: A coin is flipped 5 times in a row. Each time it lands on either heads or tails. How many different results of the 5 flips are possible?  In how many

12-2 Worksheet due before you leave today 12-3 Worksheet due Tuesday

No school on Monday (Memorial Day)

Chapter 12 Worksheets