# 13.7 Probability  (Page 6/18)

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Landing on a vowel

$\text{\hspace{0.17em}}\frac{1}{2}.\text{\hspace{0.17em}}$

Not landing on blue

Landing on purple or a vowel

$\text{\hspace{0.17em}}\frac{5}{8}.\text{\hspace{0.17em}}$

Landing on blue or a vowel

Landing on green or blue

$\text{\hspace{0.17em}}\frac{1}{2}.\text{\hspace{0.17em}}$

Landing on yellow or a consonant

Not landing on yellow or a consonant

$\text{\hspace{0.17em}}\frac{3}{8}.\text{\hspace{0.17em}}$

For the following exercises, two coins are tossed.

What is the sample space?

Find the probability of tossing two heads.

$\text{\hspace{0.17em}}\frac{1}{4}.\text{\hspace{0.17em}}$

Find the probability of tossing exactly one tail.

Find the probability of tossing at least one tail.

$\text{\hspace{0.17em}}\frac{3}{4}.\text{\hspace{0.17em}}$

For the following exercises, four coins are tossed.

What is the sample space?

Find the probability of tossing exactly two heads.

$\text{\hspace{0.17em}}\frac{3}{8}.\text{\hspace{0.17em}}$

Find the probability of tossing exactly three heads.

Find the probability of tossing four heads or four tails.

$\text{\hspace{0.17em}}\frac{1}{8}.\text{\hspace{0.17em}}$

Find the probability of tossing all tails.

Find the probability of tossing not all tails.

$\text{\hspace{0.17em}}\frac{15}{16}.\text{\hspace{0.17em}}$

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

$\text{\hspace{0.17em}}\frac{5}{8}.\text{\hspace{0.17em}}$

For the following exercises, one card is drawn from a standard deck of $\text{\hspace{0.17em}}52\text{\hspace{0.17em}}$ cards. Find the probability of drawing the following:

A club

A two

$\text{\hspace{0.17em}}\frac{1}{13}.\text{\hspace{0.17em}}$

Six or seven

Red six

$\text{\hspace{0.17em}}\frac{1}{26}.\text{\hspace{0.17em}}$

An ace or a diamond

A non-ace

$\text{\hspace{0.17em}}\frac{12}{13}.\text{\hspace{0.17em}}$

A heart or a non-jack

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

Find the probability of rolling a sum of $\text{\hspace{0.17em}}3.\text{\hspace{0.17em}}$

Find the probability of rolling at least one four or a sum of $\text{\hspace{0.17em}}8.$

$\text{\hspace{0.17em}}\frac{5}{12}.$

Find the probability of rolling an odd sum less than $\text{\hspace{0.17em}}9.$

Find the probability of rolling a sum greater than or equal to $\text{\hspace{0.17em}}15.$

$\text{\hspace{0.17em}}0.$

Find the probability of rolling a sum less than $\text{\hspace{0.17em}}15.$

Find the probability of rolling a sum less than $\text{\hspace{0.17em}}6\text{\hspace{0.17em}}$ or greater than $\text{\hspace{0.17em}}9.$

$\text{\hspace{0.17em}}\frac{4}{9}.\text{\hspace{0.17em}}$

Find the probability of rolling a sum between $\text{\hspace{0.17em}}6\text{\hspace{0.17em}}$ and $\text{\hspace{0.17em}}9\text{,}\text{\hspace{0.17em}}$ inclusive.

Find the probability of rolling a sum of $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$ or $\text{\hspace{0.17em}}6.\text{\hspace{0.17em}}$

$\text{\hspace{0.17em}}\frac{1}{4}.\text{\hspace{0.17em}}$

Find the probability of rolling any sum other than $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$ or $\text{\hspace{0.17em}}6.\text{\hspace{0.17em}}$

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

$\text{\hspace{0.17em}}\frac{3}{4}\text{\hspace{0.17em}}$

A tail on the coin or red ace

A head on the coin or a face card

$\text{\hspace{0.17em}}\frac{21}{26}\text{\hspace{0.17em}}$

No aces

For the following exercises, use this scenario: a bag of M&Ms contains $\text{\hspace{0.17em}}12\text{\hspace{0.17em}}$ blue, $\text{\hspace{0.17em}}6\text{\hspace{0.17em}}$ brown, $\text{\hspace{0.17em}}10\text{\hspace{0.17em}}$ orange, $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$ yellow, $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$ red, and $\text{\hspace{0.17em}}4\text{\hspace{0.17em}}$ green M&Ms. Reaching into the bag, a person grabs 5 M&Ms.

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

$\text{\hspace{0.17em}}\frac{C\left(12,5\right)}{C\left(48,5\right)}=\frac{1}{2162}\text{\hspace{0.17em}}$

What is the probability of getting $\text{\hspace{0.17em}}4\text{\hspace{0.17em}}$ blue M&Ms?

What is the probability of getting $\text{\hspace{0.17em}}3\text{\hspace{0.17em}}$ blue M&Ms?

$\frac{C\left(12,3\right)C\left(36,2\right)}{C\left(48,5\right)}=\frac{175}{2162}$

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

## Extensions

Use the following scenario for the exercises that follow: In the game of Keno, a player starts by selecting $\text{\hspace{0.17em}}20\text{\hspace{0.17em}}$ numbers from the numbers $\text{\hspace{0.17em}}1\text{\hspace{0.17em}}$ to $\text{\hspace{0.17em}}80.\text{\hspace{0.17em}}$ After the player makes his selections, $\text{\hspace{0.17em}}20\text{\hspace{0.17em}}$ winning numbers are randomly selected from numbers $\text{\hspace{0.17em}}1\text{\hspace{0.17em}}$ to $\text{\hspace{0.17em}}80.\text{\hspace{0.17em}}$ A win occurs if the player has correctly selected $\text{\hspace{0.17em}}3,4,\text{\hspace{0.17em}}$ or $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$ of the $\text{\hspace{0.17em}}20\text{\hspace{0.17em}}$ winning numbers. (Round all answers to the nearest hundredth of a percent.)

what is Economics?
Is the study of human behaviour as a relationship between ends and scares mean which have alternative use
Alhaji
yes
Tawa
what is monopoly
Alhaji
what is labour
LABOUR is a measure of work done by human being
Blessing
It is all form of human effort use to utilize in production
Alhaji
Why is scarcity a foundermental problem in economics
Alhaji
Why is scarcity a foundermental problem in economics
scarcity occur unbalance demand and supply at this time cost goods increase then inflation very increase
Tesfaye
scarcity is a foundermental problem because its a natural situation and it affects the world at Large.in other words,it's limit in supply relating to deman
Akwosih
'Economics is about making choices in the presence of scarcity"
. 'Economics is about making choices in the presence of scarcity" - Dscuss.
manoj
describe the producer's scarce resources.. I.e land,Labour,capital and enterprise
short in supply
Charles
What are human behaviour?
the rationality in decision making
Charles
how can you describe economic goods in a much better easier way?
any thing that have utility
Charles
what is deman and supply
Demand can be defined as the ability and willingness to buy commodities in a given price of goods and services in a particular period of time
Alasana
supply refers to the ability and willingness to offered commodities for sale in a given price of goods and services in a period of time .
Alasana
Demand can refer to the ability and willingness to purchase a commodity at a giving price and time.
habib
what must the producer do if total costs exceed total revenue
raise price
Nguyen
reduce cost
Charles
scarcity resources sample
land
Charles
what's scarcity
resources short in supply
Charles
hello
scarcity is excess against human wants.
Kennedy
scarcity is limit in supply relating to demand
Akwosih
students
Hamdu
shortge of resources .imbalance of wants to resources .
Hamdu
hlo
Yahya
limitation of supply in relation to their demand for commodity
Prince
what are the two types of economic theory's?
i thick it is microeconomic theory and macroeconomic theory. or it can be normative and positive economic theories.
Deep
yes^
Nguyen
with diagrams show thé change in prices in thé different time period that can result in an increase in demande
define momentary period
Fankam
What is a monopsony?
monopsony is a situation where only one buyer is available in the market
The
And with many sellers?
Allan
oligopsony
The
to be more specific, oligopsony is a situation with many sellers but few buyers
The
Thank you
Allan
economic is tha process of banking
Pls can u explain it into details
Praise
Cause I don't understand what you are saying
Praise
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