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

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
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Rafiq
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Damian
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what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
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Rafiq
what is differents between GO and RGO?
Mahi
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Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
hi
Loga
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
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