Round percents to the tenth. 5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S) 2. P(I) 3. P(S, B or I) 4. P(not D) Round percents to the tenth.

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S)

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟏 𝟗 = 11.1%

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 2. P(I)

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 2. P(I) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟑 𝟗 = 𝟏 𝟑 =33.3%

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 3. P(S, B or I)

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 3. P(S, B or I) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟓 𝟗 = 55.6%

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 4. P(not D)

5 Minute Check A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 4. P(not D) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟖 𝟗 = 88.9%

Monday, April 24 Outcomes

Objective: To find the probability of a specific outcome to an event. Outcomes Objective: To find the probability of a specific outcome to an event.

A sample space is the set of all possible outcomes to an event.

Outcomes A tree diagram is a diagram used to show the total number of possible outcomes.

Outcomes A tree diagram is a diagram used to show the total number of possible outcomes. A tree diagram is an organized list of all possible outcomes.

Outcomes A tree diagram is a diagram used to show the total number of possible outcomes. A tree diagram is an organized list of all possible outcomes. With a tree diagram the probability of an event occurring can easily be determined.

Each branch on a tree diagram represents a possible outcome. Outcomes Each branch on a tree diagram represents a possible outcome.

Outcomes Each tree diagram must have columns for first event options, second event options, and outcomes.

Outcomes All probabilities should be given as a fraction and percent (rounded to the tenth).

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the first event?

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the first event? The first coin toss.

Write this in your notes Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? Head Tail Write this in your notes

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the second event? Head Tail

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the second event? The second coin toss. Head Tail

Write this in your notes Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? Head Head Tail Head Tail Tail Write this in your notes

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What are the possibilities? Head Head Tail Head Tail Tail

Write this in your notes Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail Write this in your notes

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the number of favorable outcomes? Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

What is the number of favorable outcomes? If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the number of favorable outcomes? Number of favorable outcomes Number of possible outcomes = 𝟏 ? Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

What is the number of possible outcomes? If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the number of possible outcomes? Number of favorable outcomes Number of possible outcomes = 𝟏 ? Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

What is the number of possible outcomes? If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the number of possible outcomes? Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒 Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

What is the probability as a percent? Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the probability as a percent? Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒 Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

What is the probability as a percent? Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the probability as a percent? Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒 = 25% Head Head, Head Head Tail Head, Tail Head Tail, Head Tail Tail Tail, Tail

Outcomes If we were to toss a fair coin twice what is the probability it would land on heads both times? Would the probability change if there were two coins and they were tossed at the same time?

Outcomes Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes.

Outcomes Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes. How many outcomes for the first event?

Outcomes Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes. red orange purple

Outcomes Each spinner is spun once. What is the probability of both spinners landing on red? How many outcomes for the second event? red orange purple

Outcomes Each spinner is spun once. What is the probability of both spinners landing on red? red blue yellow green red orange purple

Outcomes Each spinner is spun once. What is the probability of both spinners landing on red? What is the probability of both spinners landing on red? red blue yellow green red orange purple

Outcomes Each spinner is spun once. What is the probability of both spinners landing on red? What is the probability of both spinners landing on red? red blue yellow green red orange purple The probability is 𝟏 𝟏𝟐 = 8.3%

Outcomes A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.

Outcomes A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. What are the possible outcomes of the first event?

Outcomes A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. 0.5 even heads 1 6 1 2 3 4 5 6 3 - 1 2 · 1 6 = 1 12 tails 1 6

What are the possible outcomes of the second event? A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. 0.5 even heads 1 6 1 2 3 4 5 6 3 - 1 2 · 1 6 = 1 12 tails 1 6 What are the possible outcomes of the second event?

How many favorable outcomes are there? A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. 0.5 even How many favorable outcomes are there? heads 1 6 1 2 3 4 5 6 3 - 1 2 · 1 6 = 1 12 tails 1 6

What is the probability? Outcomes A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. 0.5 even What is the probability? heads 1 6 1 2 3 4 5 6 3 - 1 2 · 1 6 = 1 12 tails 1 6 Favorable outcome

What is the probability? 𝟏 𝟏𝟐 or 8.3% Outcomes A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability. 0.5 even What is the probability? heads 1 6 1 2 3 4 5 6 3 - 1 2 · 1 6 = 1 12 𝟏 𝟏𝟐 or 8.3% tails 1 6 Favorable outcome

Outcomes There are two bags, each with a blue, red and white marble. Construct a tree diagram to determine the probability of picking a red marble from the first bag and blue from the second bag. Do this on your own.

Outcomes There are two bags, each with a blue, red and white marble. Construct a tree diagram to determine the probability of picking a red marble from the first bag and blue from the second bag. 1st Event 2nd Event blue red white 𝟏 𝟗 or 11.1% 1 3 blue red white 1 3 1 3 1 3 blue - 1 3 · 1 3 = 1 9 red white Favorable outcome 1 3 1 3 blue red white

Probability List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Do this on your own.

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? Do this on your own.

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What are the short options?

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? jean (j) khaki(k)

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What are the shirt options?

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? yellow (y) jean (j) white (w) blue (b) khaki(k) white (w)

blue (b) khaki/blue(kb) Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? yellow (y) jean/yellow (jy) jean (j) white (w) jean/white (jw) blue (b) jean/blue(jb) yellow (y) khaki/yellow(ky) khaki(k) white (w) khaki/white(kw) blue (b) khaki/blue(kb)

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What is the probability of randomly picking khaki shorts and a yellow shirt?

Outcomes What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What is the probability of randomly picking khaki shorts and a yellow shirt? 𝟏 𝟔 = 16.7%

Outcomes List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Do this on your own.

Outcomes List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Soft drink/popcorn Soft drink/candy bar Popcorn/soft drink Popcorn/candy bar Candy Bar/soft drink Candy Bar/popcorn

Outcomes List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Soft drink/popcorn Soft drink/candy bar Popcorn/soft drink Popcorn/candy bar Candy Bar/soft drink Candy Bar/popcorn

Outcomes You order a hamburger and can pick from four toppings. List the possible combinations if you picked two from ketchup, mustard, tomato and onion. Do this on your own.

Outcomes You order a hamburger and can pick from four toppings. List the possible combinations if you picked two from ketchup, mustard, tomato and onion. ketchup/mustard ketchup/tomato ketchup/onion mustard/tomato mustard/onion tomato/onion

Probability List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Soft drink/popcorn Soft drink/candy bar Popcorn/soft drink Popcorn/candy bar Candy Bar/soft drink Candy Bar/popcorn

Outcomes Agenda Notes – Homework – No Homework Work on MobyMax until the end of class. Probability Test Wednesday, May 3 The day before Star Wars Day!