Drawing Pie Charts

Total ?

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57

Ice-cream Sales

The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.

Review: Pie Charts Mini-Quiz

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57

Ice-cream SalesThe information in the table shows

sales of ice-cream from an ice-cream van one Saturday afternoon

in the summer. Display the information in a pie chart.

BananaVan

illa

Cho

cola

te

Strawberry

39o66o

84o

171o

13Vanilla angle = 360 9

1203 ox

22Banana angle = 360 6

1206 ox

28Chocolate angle = 360 4

1208 ox

57Strawberry angle = 360 1

127

01 ox

Class Greeting

ObjectiveThe student will be able to: List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions, decimals and percent.

Equally Likely Outcomes

Games of chance include…

• Flipping a coin• Rolling a die• Rock/ Paper / Scissors • Spinners• Card games (blackjack, poker)• Other:

Let’s take a closer look at Rock, Paper,

Scissors!

Games of Chance: Rock, Paper, Scissors

Did you know there are national competitions for rock, paper, scissors!

“Equally Likely”

You can be beaten by paper, draw with rock or win with scissors!

If choose rock…

Rock, Paper, Scissors! Play a game against a partner 10 times and record the results copying this table into your notebooks:My Choice My Partner’s

choiceMy Result(Win/Loss)

Games of Chance: Jan-Ken-Pon (Rock, Paper, Scisors)

Rock, paper, scissors is thought to have originated from Asia! In Japan, the game is called “jankenpon” or “janken” for short. The game is usually played for the best of three.

In Japan, you say “jan” on the first beat, “ken” on the second beat, and “pon” on the third beat.

If the players both throw the same choice and the round is a tie, they say, “Aikou deshou” (“ai-kou-deshou“). This means “one more time!” 

Games of Chance: Jan-Ken-Pon (Rock, Paper, Scisors)The first game released on the Sega Master System was “Alex The Kidd.” It was the only system released with a free game built into the system’s memory!

The bosses for each level were the Janken Brothers who you had to beat playing “Rock, Paper, Scissors!”

Play a game against a partner 10 times and record the results copying this table into your notebooks:My Choice My Partner’s

choiceMy Result(Win/Loss)

Jan-Ken-Pon

If you were playing “Jan-Ken-Pon” what are

the chances of you winning using “Ken”?

“Hmm…”(Rock) (Paper ) (Scissors)

What other mathematical language can we use to describe the probability of winning a game of “Rock, Paper, Scissors”?

Has the same chance of happening. 1:3 1/3 33.33…%0.333…

“Equally likely” means…

Your can either use1. Rock,2. Paper, 3. or Scissors.And (i) win, (ii) lose or (iii) draw!

What are some other events in life that are “equally likely”?

“Hmm…”

If your mum has had three baby girls and is pregnant, what are the

chances it will be another girl?

“Hmm…”

Has the same chance of happening. 1:2 1 2 50% 0.5

“Equally Likely”means…

Your mum can either have a boy or a girl! Statistically speaking, the chances are still the same even if she has had three girls before…even ask the doctor!

If you had flipped a coin and 5 times in a row it came up heads, what are the chances the next time you flip it will be heads?

“Hmm…”

“Equally Likely”means…

A coin has 2 sides. Heads & tails! Statistically speaking, the chances must be 50/50.

Has the same chance of happening. 1:2 1 2 50% 0.5

If you were rolling a die and you had rolled 6 two times in a row, what are the chances that you will roll 6 again?

“Hmm…”

You can either roll a 1, 2, 3, 4, 5, or 6.

Has the same chance of happening. 1:6 1/6 16.66…% 0.166…

“Equally Likely”

“Equally likely” means…

Since you can either roll a 1, 2, 3, 4, 5, or 6…statistically speaking, the chances must be 1 in 6.

Hmm..

What is the likelihood of rolling a 3 if we get an 8 sided die and roll that?

Has the same chance of happening. 1:8 1/8 12.5% 0.125

“Equally Likely”

“Equally likely” means…

Since you can either roll a 1, 2, 3, 4, 5, 6, 7, or 8…statistically speaking, the chances must be 1 in 8.

Lesson Summary: The student will be able to: List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions, decimals and percent.

Objective: The student will be able to calculate the Probability of an event; identify the difference between Independent versus Dependent events; Calculate the Probability of two Independent events; and Calculate the Probability of two Dependent events.

Preview of the Next Lesson:

HomeworkStatistics HW 8 and HW 7