Date: 03/21/11 By: Mr. Menjivar Today’s Title Probability

Put Away YOUR NOTEBOOKS Take out a half sheet of paper and label it as follows for a quiz on Analyzing Data Displays: Analyzing Data Displays Name: Period:

Bar Graph 1. How many more students had cats than fish? 2. How many more students had dogs than cats?

Histogram 3. How many students read 6-8 books? 4. How many students read fewer than 6 books?

Line Graph 5. When were the sales increasing?

Standard SDAP 3.3: Represent probabilities as ratios, decimals between 0 and 1, and percentages between 0 and 100.

Objective To find the probability and the complement of an event

Vocabulary Outcome → the result of an action Event → a collection of possible outcomes Complement → collection of outcomes not in the event

What is probability? Probability involves predicting future events based on the following… Theoretical Probability

Example You select a letter at random from the letters shown. Write the probability of selecting a vowel as a fraction, a decimal, and a percent {A, B, C, D, E}

All Probabilities Range from 0 to 1 Probability is always expressed as fractions (or decimals, or percent) between 0 and 1. Impossible Certain Less Likely More Likely As Likely As Not

Determine the Likelihood of each event 1) Flipping a coin to get tails. 2) Rolling a die to get a 4. 3) Rolling a die to get a 7. 4) Rolling a die to get a number less than 8. 5) Kim likes sweets. She will choose a cupcake.

Determine the Likelihood of each event 1) Flipping a coin to get tails. As likely as not 2) Rolling a die to get a 4. Less Likely 3) Rolling a die to get a 7. Impossible 4) Rolling a die to get a number less than 8. Certain 5) Kim likes sweets. She will choose a cupcake. More Likely

Complementary Events P(event) + P(not event) = 1

Complementary Events Lets say that you have the days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday Find P(weekday)

Complementary Events Lets say that you have the days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday Find P(not weekday)

Complementary Events Lets say that P(it will rain) = 30% Find P(it will not rain)

Check For Understanding 1. P(12) 2. P(2 or 4) 3. P(multiple of 3) 4. P(even) 5. P(not 1) 6. P(not a factor of 10) 7. P(less than 9) 8. P(not divisible by 3)

Coin Toss Game (Instructions) In groups of 5, you will play a game. Assign a number to each player, for example, player 1, player 2, and so on. Player 1 will toss a coin; if he/she tossed heads, he/she’s out of the game. If he/she tossed tails, then he/she remains in the game. Then Player 2 tosses the coin and so on, until every player tosses the coin. If more than one player remains in the game, begin the same process, until there is only one.

Assign each member of your group a number Player 1- Player 2- Player 3- Player 4- Player 5-

We want to see who has the luck! Tally up the number of times each player wins. Play from games. PlayersTallyGames Won Player 1 Player 2 Player 3 Player 4 Player 5

Answer These Questions Which player won the most games? Why do you think this player won? What is the probability of Player 1 winning the gamer? What is the probability of Player 2 winning the gamer? What is the probability of Player 3 winning the gamer? What is the probability of Player 4 winning the gamer? What is the probability of Player 5 winning the gamer? If you had to choose, which player would you want to be?

Homework Pg. 357 [1-18 all] Pg. 358 [1-9 all]

Exit Slip You mix the letters: A, C, Q, U, A, I, N, T, A, N, C, and E Without looking, you select one letter. Find the probability of each event as a fraction, a decimal, and a percent. 1. P(A) 2. P(vowel) 3. P(Q or C)