2018 #1 “probability & statistics” math-7 sol review packet · experimental v theoretical...

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SOL’s Covered: Topics: Probability of Simple Events Experimental v. Theoretical Probability Tree Diagrams Fundamental Counting Principle Probability of Compound Events Analyzing Histograms/ Graphs “Probability & Statistics” Math - 7 SOL Review Packet 2018 #1 COMPLETE THE “STARRED” ITEMS FOR HOMEWORK! We aren’t afraid of this test!

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Page 1: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

SOL’s Covered:

Topics:

Probability of Simple Events

Experimental v. Theoretical Probability

Tree Diagrams

Fundamental Counting Principle

Probability of Compound Events

Analyzing Histograms/ Graphs

“Probability & Statistics”

Math-7 SOL Review Packet

2018 #1

COMPLETE THE “STARRED” ITEMS

FOR HOMEWORK!

We aren’t afraid of this test!

Page 2: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

“Probability & Statistics” Quick Guide

May t

he o

dds b

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ver in y

our f

avor!

Page 3: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Probability

3

1)

2)

3)

Page 4: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Experimental v Theoretical Probability

4

Mike has attempted 84 free throws. Of those attempted, 63

have gone in the basket. Based on this rate, what is the

probability that Mike’s next free throw attempt will go in the

basket?

1)

2)

3)

4)

Page 5: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

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Experimental v Theoretical Probability

Hint: Set up a proportion!

5)

6)

7)

Page 6: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

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New State Question!

Experimental v Theoretical Probability

8)

9)

10)

Page 7: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Fundamental Counting Principle

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1)

2)

3)

4)

Page 8: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

The letters A, B, C, D, and E can be used to create a four letter code for a lock. Each letter can be repeated. What is the total number of four letter codes that can be made using these letters?

Fundamental Counting Principle

8

Start with 3 blanks! How many options

for each digit?

5)

6)

7)

8)

Page 9: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Compound Probability

There are 52 cards in a standard deck, and 4 of them are Aces. What is the

probability of picking two Aces in a row? Assume the first pick is not

replaced.

A. 12/52 C. 3/676

B. 1/221 D. 7/52

There are 3 red, 2 purple, 1 green, and 4 orange lollipops in a bag. Without

replacing the first pick, what is the probability of picking a red, then a

green?

A. 3/100 C. 1/30

B. 1/18 D. 6/109

Notice the 1st pick is NOT replaced!

Multiply each event! Need 2 fractions!

Notice the 1st pick is NOT replaced!

1)

2)

3)

4)

Page 10: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Compound Probability

A deck of cards numbered 1 – 10 is shown.

The cards are thoroughly shuffled. A card is picked, replaced, and a second

card is picked. What is the probability of picking a 4 and an even number?

A. 1/10

B. 1/18

10

A. B. C. D.

Notice the 1st pick IS replaced!

5)

6)

7)

Page 11: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Compound Probability

A fair coin has faces labeled heads and tails. A fair cube hasfaces labeled A, B, C, D, E, and F. Adam will flip this coin and roll the cube one time each. What is the probability that thecoin will land with tails face-up and the cube will land on theletter A?

11

8)

9)

10)

Page 12: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Histograms/Graphs

12

1)

2)

3)

Page 13: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Histograms/Graphs 4)

5)

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Page 14: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Histograms/Graphs

14

6)

7)

Page 15: 2018 #1 “Probability & Statistics” Math-7 SOL Review Packet · Experimental v Theoretical Probability 4 Mike has attempted 84 free throws. Of those attempted, 63 have gone in

Histograms/Graphs

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8)

9)

10)