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Landing on a vowel

1 2 .

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Landing on purple or a vowel

5 8 .

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Landing on blue or a vowel

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Landing on green or blue

1 2 .

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Landing on yellow or a consonant

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Not landing on yellow or a consonant

3 8 .

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For the following exercises, two coins are tossed.

What is the sample space?

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Find the probability of tossing two heads.

1 4 .

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Find the probability of tossing exactly one tail.

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Find the probability of tossing at least one tail.

3 4 .

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For the following exercises, four coins are tossed.

What is the sample space?

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Find the probability of tossing exactly two heads.

3 8 .

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Find the probability of tossing exactly three heads.

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Find the probability of tossing four heads or four tails.

1 8 .

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Find the probability of tossing all tails.

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Find the probability of tossing not all tails.

15 16 .

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Find the probability of tossing exactly two heads or at least two tails.

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Find the probability of tossing either two heads or three heads.

5 8 .

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For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following:

A non-ace

12 13 .

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For the following exercises, two dice are rolled, and the results are summed.

Construct a table showing the sample space of outcomes and sums.

1 2 3 4 5 6
1 (1, 1)
2
(1, 2)
3
(1, 3)
4
(1, 4)
5
(1, 5)
6
(1, 6)
7
2 (2, 1)
3
(2, 2)
4
(2, 3)
5
(2, 4)
6
(2, 5)
7
(2, 6)
8
3 (3, 1)
4
(3, 2)
5
(3, 3)
6
(3, 4)
7
(3, 5)
8
(3, 6)
9
4 (4, 1)
5
(4, 2)
6
(4, 3)
7
(4, 4)
8
(4, 5)
9
(4, 6)
10
5 (5, 1)
6
(5, 2)
7
(5, 3)
8
(5, 4)
9
(5, 5)
10
(5, 6)
11
6 (6, 1)
7
(6, 2)
8
(6, 3)
9
(6, 4)
10
(6, 5)
11
(6, 6)
12
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Find the probability of rolling a sum of 3.

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Find the probability of rolling at least one four or a sum of 8.

5 12 .

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Find the probability of rolling an odd sum less than 9.

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Find the probability of rolling a sum greater than or equal to 15.

0.

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Find the probability of rolling a sum less than 15.

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Find the probability of rolling a sum less than 6 or greater than 9.

4 9 .

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Find the probability of rolling a sum between 6 and 9 , inclusive.

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Find the probability of rolling a sum of 5 or 6.

1 4 .

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Find the probability of rolling any sum other than 5 or 6.

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For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the probability of the following:

A head on the coin or a club

3 4

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A tail on the coin or red ace

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A head on the coin or a face card

21 26

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For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange, 8 yellow, 8 red, and 4 green M&Ms. Reaching into the bag, a person grabs 5 M&Ms.

What is the probability of getting all blue M&Ms?

C ( 12 , 5 ) C ( 48 , 5 ) = 1 2162

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What is the probability of getting 4 blue M&Ms?

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What is the probability of getting 3 blue M&Ms?

C ( 12 , 3 ) C ( 36 , 2 ) C ( 48 , 5 ) = 175 2162

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What is the probability of getting no brown M&Ms?

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Extensions

Use the following scenario for the exercises that follow: In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20 winning numbers are randomly selected from numbers 1 to 80. A win occurs if the player has correctly selected 3 , 4 , or 5 of the 20 winning numbers. (Round all answers to the nearest hundredth of a percent.)

Questions & Answers

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the process wherein people come to understand societal norms and expectations, to accept society's beliefs, and to be aware of societal values
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Family Peer group Institution
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Evolution models refer to mathematical and computational representations of the processes involved in biological evolution. These models aim to simulate and understand how species change over time through mechanisms such as natural selection, genetic drift, and mutation. Evolutionary models can be u
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shared standards of acceptable behavior by the group or appropriate behavior in a particular institution or those behaviors that are acceptable in a society
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Practice Key Terms 9

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Source:  OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
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