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FST - 6.1- 6.3 Probability

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Slips of paper marked with the numbers 1, 2, 3, 4, and 5 are placed in a box. After mixing, two slips are drawn. How many possible outcomes are there?

a)

5

b)

10

c)

15

d)

25

2.

An unprepared student takes a 3-question true/false quiz in which he guesses the answers to all 3 questions. What is the probability he gets all 3 correct?

a)

1/2

b)

1/3

c)

1/6

d)

1/8

3.

You give the answer to a probability problem as 6/5. The teacher marks it wrong. Why?

a)

It should have been 5/6.

b)

Its not written as a percent.

c)

Its more than 1.

d)

Its not written as a decimal.

4.

Which of these cannot be considered a probability of an outcome?

a)

1/3

b)

-1/5

c)

0.80

d)

112%

e)

1

5.

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

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 quarter, then nickel).

a)

1/39

b)

1/20

c)

10/39

d)

9/195

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 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(both blue)

a)

1/18

b)

1/12

c)

1/36

d)

1/24

9.
You choose a King from a deck of cards and get heads in a coin toss. Is an example of __________ event?
a)
Independent
b)
Depenedent
10.
What is the probability of rolling a 4 on a fair number cube and getting “tails” when tossing a coin?
a)
1/7
b)
1/12
c)
5/8
d)
1/2
11.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
12.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
13.

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}

14.

From a well shuffled deck of cards, what is the probability that a card is drawn with number less than 8? (Hint: Ace cards are not number cards or face cards.)

a)

513\frac{5}{13}

b)

813\frac{8}{13}

c)

413\frac{4}{13}

d)

613\frac{6}{13}

15.
An ice cream parlor has 6 different flavors. They have 4 toppings and 2 types of cones. How many possible ice cream combinations are there?
a)
6
b)
48
c)
12
d)
24
16.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
17.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
18.

A library organizes their books by a code made up of 3 letters followed by 3 digits from 0-9. No letters are used more than once in the same code. How many different codes are possible?

a)

10000056

b)

1560000

c)

1757600

d)

17576

19.

What is the probability of drawing a 6 from a standard deck of cards, not replacing it and then drawing an ace?

a)

0.6%

b)

6%

c)

0.7%

d)

6.1%

20.

What is the probability of drawing an ace from a standard deck of cards, not replacing it, and then selecting a red card?

a)

7.8%

b)

8.2%

c)

3.7%

d)

6.3%