Question 1 5 pts A bag contains six blue marbles, seven red marbles, and four green marbles. If four
marbles are drawn randomly, determine the probability that three are green.
A bag contains six blue marbles, seven red marbles, and four green marbles. If four marbles are drawn
randomly, determine the probability that three are green.
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Question 2 5 pts Skip to question text.
Two people are playing rock, paper, and scissors. For every round, each person reveals either a rock, paper,
or scissors. Determine the probability that both players will tie (choose identical options) two rounds in a
row. E.g. both players choose rock, then both players choose scissors.
9/64
1/9
1/27
2/9
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Question 3 5 pts <p>Two dice are rolled. The probability of rolling a sum less than 5 is</p>
Two dice are rolled. The probability of rolling a sum less than 5 is
1/6
1/5
1/3
2/3
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Question 4 5 pts <p>Determine the probability of drawing a face card and then an ace from a regular deck
of cards if the face card is not returned.</p>
Determine the probability of drawing a face card and then an ace from a regular deck of cards if the face
card is not returned.
3/169
12/663
13/663
4/169
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Question 5 5 pts The probability of drawing an ace out of a deck of cards is to be calculated. The number of
elements in the sample space is
The probability of drawing an ace out of a deck of cards is to be calculated. The number of elements in the
sample space is
13
52
4
none of the above
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Question 6 5 pts A bag contains four black marbles and nine orange marbles. If marbles are drawn and not
replaced, determine the probability that you'll pull out <span>at least one</span> black marble in your first
3 draws.
A bag contains four black marbles and nine orange marbles. If marbles are drawn and not replaced,
determine the probability that you'll pull out at least one black marble in your first 3 draws.
0.71
0.29
0.97
0.03
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Question 7 5 pts <p>Which statement is false?</p>
Which statement is false?
Twenty cards are randomly chosen from a standard deck (with replacement). A person tries to guess
the colour of each card. The probability that they get each wrong is the same as the probability they get
each right.
A person flips a coin 10 times in a row and gets 9 heads. The probability of getting a head on the next
flip is 50%.
When the number of trials is large, experimental probability is similar to theoretical probability.
The probability of pulling a red face card (J,Q,K,A) from a standard deck of cards is 1/12.
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Question 8 5 pts Skip to question text.
From the records of the previous season, baseball player Ashanti has a probability of
of hitting a
double, and a probability of
of hitting a home run. What is the probability that she will hit a double
or a home run the next time at bat?
1/50
1/12
1/60
1/600
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Question 9 5 pts <p>The face cards of a deck are shuffled and two cards are drawn, one at a time, without
replacement. Determine the probability that both cards are diamonds.</p>
The face cards of a deck are shuffled and two cards are drawn, one at a time, without replacement.
Determine the probability that both cards are diamonds.
52/663
1/13
1/34
1/169
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Question 10 5 pts <p>Each of the letters of the word PROBABILITY are placed in a hat. If one letter is
drawn randomly, what is the probability that a vowel is pulled out?</p>
Each of the letters of the word PROBABILITY are placed in a hat. If one letter is drawn randomly, what is
the probability that a vowel is pulled out?
None of the above
1/4
1/2
4/11
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Question 11 5 pts <p>An event occurs, on average, every 6 out of 17 times during a simulation. The
experimental probability of this event is</p>
An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of
this event is
All of the above
The same as the theoretical probability
Always the same
6/17
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Question 12 5 pts Skip to question text.
Burt has a CD player that holds 3 CDs with 20 tracks each. Burt selected "random play", which will play
the various tracks on the various CDs at random, without repeating, until all tracks on all CDs have been
played once. What is the probability that the tracks will be played in the order in which the CDs are placed
in the machine?
1/20
1/3
1.20 x 10-82
1/60
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Question 13 5 pts <p>A card is randomly drawn from a regular deck of cards and then replaced. A second
card is then drawn. Determine the probability that the first card is a spade and the second one is the jack of
clubs.</p>
A card is randomly drawn from a regular deck of cards and then replaced. A second card is then drawn.
Determine the probability that the first card is a spade and the second one is the jack of clubs.
1/52
14/52
1/208
2/52
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Question 14 5 pts Skip to question text.
The probability that John will be accepted into the business program at Probability College is 0.6. The
probability that he will be accepted into the science program is 0.2. The probability that he will be accepted
into both programs is 0.1. What is the probability that he will be accepted into at least one of the programs?
none of the above
0.7
0.9
0.12
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Question 15 5 pts On the school hockey team there are 9 grade 12's, 10 grade 11's, 4 grade 10's, and 3 grade
9's. If 3 random players are selected to win a prize at the team banquet, what is the probability that they will
all be from grade 9 or 10?
On the school hockey team there are 9 grade 12's, 10 grade 11's, 4 grade 10's, and 3 grade 9's. If 3 random
players are selected to win a prize at the team banquet, what is the probability that they will all be from
grade 9 or 10?
1/260
None of the above
3/780
7/520
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Question 16 5 pts A bag of marbles contains 4 blue marbles, 7 red marbles, and 3 yellow marbles. A marble
is drawn and then replaced. What is the probability of pulling out a yellow marble then blue marble?
A bag of marbles contains 4 blue marbles, 7 red marbles, and 3 yellow marbles. A marble is drawn and
then replaced. What is the probability of pulling out a yellow marble then blue marble?
7/196
12/196
1/2
1/4
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Question 17 5 pts State the probability of a family having two girls and one boy, not necessarily in that
order.
State the probability of a family having two girls and one boy, not necessarily in that order.
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Question 18 5 pts Given that P(A) = 0.4, P(B) = 0.5, and P(A<img class="equation_image" title=" \cup"
src="/equation_images/%2520%255Ccup" alt=" \cup">B) is 0.6, the value of P(A <img
class="equation_image" title="\cap" src="/equation_images/%255Ccap" alt="\cap">B) is
Given that P(A) = 0.4, P(B) = 0.5, and P(A ∪B) is 0.6, the value of P(A
0.1
1
∩B) is
0.3
1.5
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Question 19 5 pts <p><span>You are dealt five cards from a deck of 52. What is the probability that you
will have some red and some black cards?</span></p>
You are dealt five cards from a deck of 52. What is the probability that you will have some red and some
black cards?
0.025
0.95
0.05
0.98
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Question 20 5 pts <p>A card is randomly drawn from a deck of 52 cards. What is the probability that it is
either a diamond or a six?</p>
A card is randomly drawn from a deck of 52 cards. What is the probability that it is either a diamond or a
six?
19/52
4/13
39/1352
17/52