# 14.4 Homework: trickier probability problems

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This module provides practice problems which develop concepts related to probability.

Each morning, before they go off to work in the mines, the seven dwarves line up and Snow White kisses each dwarf on the top of his head. In order to avoid any hint of favoritism, she kisses them in random order each morning.

No two parts of this question have exactly the same answer.

• ## A

What is the probability that the dwarf named Bashful gets kissed first on Monday?
• ## B

What is the probability that Bashful gets kissed first both Monday and Tuesday?
• ## C

What is the probability that Bashful does not get kissed first, either Monday or Tuesday?
• ## D

What is the probability that Bashful gets kissed first at least once during the week (Monday – Friday)?
• ## E

What is the probability that, on Monday, Bashful gets kissed first and Grumpy second?
• ## F

What is the probability, on Monday, that the seven dwarves will be kissed in perfect alphabetical order?
• ## G

What is the probability that, on Monday, Bashful and Grumpy get kissed before any other dwarves?

The drawing shows a circle with a radius of 3" inside a circle with a radius of 4". If a dart hits somewhere at random inside the larger circle, what is the probability that it will fall somewhere in the smaller circle?

The answer is not $\frac{3}{4}$ .

A bag has 26 tiles in it, each with a different letter of the alphabet.

• ## A

You pick one tile out of the bag, look at it, and write it down. Then you put it back in the bag, which is thoroughly mixed up. Then you pick another tile out of the back, look at it, and write it down. What is the probability that your first letter was “A” and your second letter was “T”?
• ## B

Same bag, different plan. This time you pick the first tile, but do not put it back in the bag. Then you pick a second tile and place it next to the first? Now what is the probability that your first letter was “A” and your second letter was “T”?
• ## C

In the second case, what is the probability that your two letters, together, could make the word “AT”?

A deck of cards has 52 cards, 13 of each suit. Assume there are no Jokers. (Once again, no two parts of this question have exactly the same answer.)

• ## A

If you draw a card at random, what is the probability of getting the Ace of Spades?
• ## B

If you draw two cards at random, what are the odds that the first will be the Ace of Spades and the second will be the King of Spades?
• ## C

If you draw two cards at random, in how many different ways can you draw those two cards?
• ## D

Based on your answers to (b) and (c), if you draw two cards at random, what is the probability that you will get those two cards?
• ## E

If you draw three cards at random, what are the odds that the first will be the Ace of Spades, the second will be the King of Spades, and the third the Queen of Spades?
• ## F

If you draw three cards at random, in how many different ways can you draw those three cards?
• ## G

Based on your answers to (e) and (f), if you draw three cards at random, what is the probability that you will get those three cards?

Jack and Jill were born in the same year.

• ## A

What is the probability that they were born on the same day?
• ## B

What is the probability that Jack’s birthday comes first?
• ## C

Assuming that Jack and Jill do not have the same birthday, what is the probability that their mother has the same birthday as one of them?
• ## D

So...if three random people walk into a room, what is the probability that no two of them will have the same birthday?
• ## E

If three random people walk into a room, what is the probability that at least two of them will have the same birthday?
• ## F

What about four random people?

#### Questions & Answers

more explanation on GDP
it is a country total out put of goods and services divided by the total population of the country.I think it can also be derived from the country labour force,,because it mostly depend on the labour force and the level of technology .
Tantoh
labour force and technological progress leads to greater production increases the GDP
Ahmed
What is economics?
by this time
Emmanuel
It is a social science that analyses production,distribution and consumption of goods and services
Emmanuel
A social science that study human behavior in relationship with decision making
Jessica
What are the typical patterns of GDP for a high-income economy like the United States in the long run and the short run?
What are the limitation and significant of macroeconomic
explain the significance of concerpt of opportunity cost in planning
what is meant by the price elasticity of demand?
when price of a commodity increase it's demand contracts , and whe the price of a commodity decreases it's demand expands so the degree of change in demand in response to change in own price of the commodity is called PED . Ed = percentage change in quantity demanded / percentage change in price
shaswat
What are the limitations of macroeconomic and their segnificant
Discuss the role of competition in stimulating economic growth?
competition stimulate economic growth because in such types of economy,they is no monopoly power every supplier will want to produce to meet customers choice which brings about quality production and attract invested and customers into such economy
Koka
competition creates Monopoly because of economy of scale. it's not antithesis but different side of same coin
toko
competition result in high economic growth since every firm will intend to provide quality services and products to meet customers needs and requirements unlike in Monopoly situation where a firm just provide what it want to resulting in large stock piles of unwanted products ,ie inefficiency, howev
Mark
microeconomics study part of the economy but macroeconomic study the whole economy
studying the whole economy, solving the problem of the economy and building up the economy
Olokun
micro means small while macro means large
Olokun
standard of living is the footsteps of an economy because it plays important role for country to have crucial view about their budget ,import and export
Olokun
it will be differ because economic agent will only take their views on some part of household
Olokun
can opportunity cost be zero
how many types of transportation do we have
Jacob
yes. when a customer's purchasing power is high, he may have d ability to purchase all he needs, dt makes opportunity cost zero
George
please can give more explanation on this question
OBED
what are the factors production
Labour capital entrepreneurs
Leta
Land,capital, labour,and the entrepreneur
Tantoh
I will like to know use of calculus in economics
do they use it in economics?
Pranav
I want to know if I should take calculus or statistics and probability my senior year of highschool
Yahir
yes for example in monopolistic competitive market..... TR=TC* & THIS CALCULATED BY CHANGING( DERIVATIVE LAW) MR =MC ** WILL BE THE FORMULA THAT USE.
Leta
please in which topic in economic is the question coming from.
Tantoh
from PCF in economics
Leta
why is unitary proportional to responsiveness
any tip for igcse economics exam?pls
well
The
What is a market
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
price of the related goods 2 price of the given commodity 3 income of the consumer 4 taste and preference 5 expectation in the future price
John
pls the taste and preference
Nas
explain briefly
Nas
a consumer taste and preference commodity changes for a time the man becomes
John
sorry sorry
John
is when the price of a commodity becomes high and can't afford example Samsung instead of iPhone
John
consumers who have high intense for goods will purchase the goods even if the price of that commodity increases because he or she preferred that commodity.people will be prefer iphone as its price increase
Yussif
as usual bad taste of preference is when a consumer regrets from one commodity to another in terms of the price
John
thanks alot
Nas
you're welcome
John
#Preference; #Income #Test
Dereje
#price Of Commodity #Income #Taste #Preference
Dereje
#Market is The Place Where Buyers And Sellers Are Exchanging Their Goods And service. #
Dereje
difference between macro and micro economics
Lawrence
Microeconomic Study about individual consumers market But Macroeconomis Study General economic Process Such As #Aggregate Demand #Aggregate Supples #GDp= #GNp
Dereje
nice so can u run down a brife discussion on GDP
Lawrence
good
Chinex
Difference between extinct and extici spicies
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
The formulation of new memories is sometimes called ________, and the process of bringing up old memories is called ________.
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