Unit 2B Test Review

UNIT 2B TEST

REVIEW

Equivalent Expressions

Probability

Probability Trees

Fair Games

Designing a Fair Game

Open Ended

What is your name?

WHAT IS THE PROBABILITY
OF PULLING A P OUT OF THE

BAG?

Multiple Choice

What is the probability of pulling a P out of the bag?

• $$\frac{1}{5}=0.2=20\%$$

• $$\frac{4}{5}=0.8=80\%$$

• $$\frac{1}{4}=0.25=25\%$$

• Can not be determined

REDUCE THE FRACTION

Multiple Choice

Reduce the fraction $$\frac{2}{6}$$

• $$\frac{2\div6}{6\div6}=\frac{3}{1}=3$$

• $$\frac{2\div3}{6\div3}=\frac{1}{2}$$

• $$\frac{2\div2}{6\div2}=\frac{1}{3}$$

• $$\frac{2\div2}{6\div2}=\frac{1}{2}$$

EQUIVALENT EXPRESSION

Multiple Select

Which are an equivalent expression?

Select all that apply!

• 6 + (-8)

• -8 + 6

• 8 - 6

• 6 - 6 - 2

• 6 - 6 + 2

HOW MANY OUTFITS?

Multiple Choice

How many outfits are possible?

• 9 outfits are possible

• 6 outfits are possible

• 3 outfits are possible

• 12 outfits are possible

DRAW A PROBABILITY TREE

Draw

Draw a probability tree for the number of outfits.

DRAW A PROBABILITY TREE

Multiple Choice

Did you get the 3 branches on top?

• Yes

• No

Multiple Choice

Did you get the 3 branches for EACH of the top 3 options?

• Yes

• No

Multiple Choice

Did you write the probability of $$\frac{1}{3}$$ for ALL the branches?

• Yes

• No

WHAT IS THE PROBABILITY OF

THIS OUTFIT?

Multiple Choice

What is the probability of this outfit?

• $$\frac{1}{3}\times\frac{1}{3}=\frac{1}{9}$$

• $$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$$

• $$\frac{1}{3}\times\frac{1}{3}=\frac{1}{6}$$

• Can not be determined

DRAW A PROBABILITY TREE

Multiple Choice

Why does the probability of $$\frac{1}{9}$$ make sense?

• There are 9 outfit choices. One outfit is one out of nine.

• This does not make sense.

• I multiplied

• There is one way to make an outfit

FAIR OR NOT FAIR

Maria suspects the six-sided number cube is not so standard.

• Maria rolled a five 40 times out of 100.

• Manuel rolled a five 21 times out 50.

• Santino rolled a five 11 times out of 30.

Is it likely this is a standard number cube? BECAUSE....

FAIR OR NOT FAIR

Maria suspects the six-sided number cube is not so standard.

• Maria rolled a five 40 times out of 100.

• Manuel rolled a five 21 times out 50.

• Santino rolled a five 11 times out of 30.

Is it likely this is a standard number cube? BECAUSE....

TIP:

Use your calculator

Divide and multiply by 100 to get the

percentage for each trial

Draw

Scratch paper... figure out why this is or is not a fair die.

Multiple Choice

Why is this dice fair or not fair?

• Fair: Because everyone got to roll the die

• Unfair, because everyone rolled a different number of times.

• Unfair: because I would expect the probability of rolling a five to be close to $$\frac{1}{6}=16.7\%$$ These trials are near 40%

• Fair: I would expect the probability of rolling a five to be close to 50% and these trials are close to that.

DESIGN A FAIR GAME

Multiple Select

Which of these games are fair? Select all that apply.

• P1: spins orange

  P2: spins purple

• P1: spins red or green

  P2: Spins orange

• P1: Spins red or purple

  P2: Spins orange or Green

• P1: Spins red or green

  P2: Spins purple

  P3: Spins teal or blue

Multiple Choice

Remember a fair game is simply that everyone has an equal chance of winning!!

player 1 spins green to win

player 2 spins teal to win

Is this a fair game?

• Yes, because each has a 5% chance.

• No, because 90% of the time they lose.

• No, because 95% of the time they lose

• Yes, because green is next to teal.

FAIR GAME?

Santino wants to know if his quarter is fair, so he flips it 10 times.

It lands on heads 3 times and on tails 7 times.

What could Santino do to be more sure of his results?

Open Ended

What should Santino do?

Multiple Choice

ACCORDING TO THE CHART ON THE LEFT: based on the 500 spins of the wheel, what does the chart predict the theoretical probability of spinning red is?

• 0.4 = 40%

• 0.3 = 30%

• $$\frac{3}{5}$$

• $$\frac{3}{8}$$

Multiple Choice

If you were to spin a spinner 500 times.. which spinner would you predict was used to produce this chart?