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Remote Wednesday FST: Chapter 6 Review

Total questions: 22

Worksheet time: 4hrs 40mins

Name
Class
Date
1.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

2.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

3.

How many cards are in a standard deck of cards?

a)

52

b)

56

c)

64

d)

42

4.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

5.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

6.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

7.

A standard die is rolled twice. Find each probability.


P (odd both times)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

8.

A standard die is rolled twice. Find each probability.


P (both perfect squares)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

9.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P (red, then yellow)

a)

5/138

b)

5/288

c)

5/144

d)

5/12

10.
Which of the following is an example of combination?
a)
Form a passcode with 4 digits
b)
Students line up in a queue to assembly
c)
Choose 4 students in a class committee
d)
Choose the chairperson, secretary and treasurer in a club
11.
Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?
a)
13
b)
42
c)
14
12.
How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
13.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

14.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

15.
Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
a)
Combination
b)
Permutation
16.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
17.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
18.

A bag of candy contains 2 red, 4 yellow, and 4 green candies.


P(NOT red or yellow) =

a)

3/5

b)

1/5

c)

2/5

d)

4/5

19.

A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.


P(red or blue) =

a)

2/5

b)

3/5

c)

4/5

d)

1/5

20.

In a deck of 52 playing cards, what is the probability of getting a 5 of Hearts or 5 of Diamond?

a)

0

b)

213\frac{2}{13}

c)

14\frac{1}{4}

d)

126\frac{1}{26}

21.

From a well shuffled deck of cards, 'all multiples of 3' cards are removed. What is the probability that a card drawn from this is an even numbered red card?

a)

14\frac{1}{4}

b)

18\frac{1}{8}

c)

15\frac{1}{5}

d)

16\frac{1}{6}

22.

A card is drawn at random from from a deck of cards after removing the face cards. What is the probability that the card drawn is a Prime number?

a)

310\frac{3}{10}

b)

1249\frac{12}{49}

c)

1249\frac{12}{49}

d)

710\frac{7}{10}