Revised 2/9/2005
SUPPLEMENTARY COUNTING AND PROBABILITY PROBLEMS
1430  TEST 5
1.
An urn contains 5 red, 5 blue and 5 white marbles, each exactly alike
except for color:
a)
If one marble is withdrawn, what is the expected probability that it
will be blue?
b)
The marble in part (a) is not replaced and another marble is
withdrawn.
What is the probability that the second marble is
white?
c)
Both marbles are replaced and another marble is withdrawn.
What
is the probability that it will be red or blue?
2.
An ordinary coin is flipped 5 times and lands heads up each time.
What
is the probability that it will land heads up on the 6th flip?
3.
A pair of dice, one green and one red, is tossed.
a)
Make a sample space for this experiment by listing the possible
outcomes of each die.
(Hint: this sample space contains 36 sample
points.)
b)
What is the expected probability of each simple event?
(A simple
event contains one sample point.)
c)
What is the sum of the probabilities of the simple events?
4.
An organization conducts a raffle to raise money and sells 250 tickets.
Donna purchased 10 tickets.
What is the probability that she will win
the prize?
5.
A coin is flipped and a die is tossed.
a)
Make a sample space for this experiment by listing all possible
outcomes.
(Hint: there will be 12 sample points.)
b)
What is the probability of getting a head on the coin and a
number greater than 3 on the die?
c)
What is the probability of getting a tail on the coin and a prime
number on the die?
6.
A letter is chosen at random from the word “chosen.”
a)
What is the probability that the letter “n” is chosen?
b)
What is the probability that the letter is a vowel?
7.
A card is drawn at random from an ordinary deck of 52 playing cards.
What is the probability that the card:
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 Fall '10
 Dr.Ladd
 Probability, Mole, Probability theory, Prime number, Playing card, Marble

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