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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?
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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 3 4 .

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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”?
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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?
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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?
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Questions & Answers

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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