<< Chapter < Page Chapter >> Page >

Landing on a vowel

1 2 .

Got questions? Get instant answers now!

Landing on purple or a vowel

5 8 .

Got questions? Get instant answers now!

Landing on blue or a vowel

Got questions? Get instant answers now!

Landing on green or blue

1 2 .

Got questions? Get instant answers now!

Landing on yellow or a consonant

Got questions? Get instant answers now!

Not landing on yellow or a consonant

3 8 .

Got questions? Get instant answers now!

For the following exercises, two coins are tossed.

What is the sample space?

Got questions? Get instant answers now!

Find the probability of tossing two heads.

1 4 .

Got questions? Get instant answers now!

Find the probability of tossing exactly one tail.

Got questions? Get instant answers now!

Find the probability of tossing at least one tail.

3 4 .

Got questions? Get instant answers now!

For the following exercises, four coins are tossed.

What is the sample space?

Got questions? Get instant answers now!

Find the probability of tossing exactly two heads.

3 8 .

Got questions? Get instant answers now!

Find the probability of tossing exactly three heads.

Got questions? Get instant answers now!

Find the probability of tossing four heads or four tails.

1 8 .

Got questions? Get instant answers now!

Find the probability of tossing all tails.

Got questions? Get instant answers now!

Find the probability of tossing not all tails.

15 16 .

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

5 8 .

Got questions? Get instant answers now!

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 .

Got questions? Get instant answers now!

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
Got questions? Get instant answers now!

Find the probability of rolling a sum of 3.

Got questions? Get instant answers now!

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

5 12 .

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

0.

Got questions? Get instant answers now!

Find the probability of rolling a sum less than 15.

Got questions? Get instant answers now!

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

4 9 .

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

1 4 .

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

A tail on the coin or red ace

Got questions? Get instant answers now!

A head on the coin or a face card

21 26

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.)

Practice Key Terms 9

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Algebra and trigonometry' conversation and receive update notifications?

Ask