MATH 225N WEEK 4 PROBABILITY QUESTIONS AND
ANSWERS 100% CORRECT
1. Paul will roll two standard dice simultaneously. If Event A = both dice are odd and
Event B = at least one die is even, which of the following best describes events A and
B?
Select two answers.
Select all that apply:
Mutually Exclusive
Not Mutually Exclusive
Independent
, Dependent
2. Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the
following are not events in this experiment?
Select all that apply:
drawing 8 hearts
drawing 8 cards
drawing 1 card
drawing 3 kings
(Events are any combinations of outcomes or particular results in an experiment. Drawing 8
cards is the experiment and drawing 1 card is a trial of the experiment, neither of which specify a
result or outcome)
3. Which of the following gives the definition of event?
Select the correct answer below:
the set of all possible outcomes of an experiment
a subset of the set of all outcomes of an experiment
a planned activity carried out under controlled
conditions one specific execution of an
experiment
4. Which of the following gives the definition of trial?
Select the correct answer below:
, a particular result of an
experiment one specific execution
of an experiment
a planned activity carried out under controlled
conditions the set of all possible outcomes of an
experiment
5. Beth is performing an experiment to check if a die is fair. She rolls the die 5 times and
records the sequence of numbers she gets.
Which of these is an outcome of this experiment? Select all correct answers.
, Select all that apply:
Rolling a die
Rolling a die five times
Rolling the sequence 1,1,2,1,6
Rolling five 4's
Rolling the sequence 1,1,2
(An outcome is a specific result of an experiment. So the outcomes of this experiment are all
the possible sequences of five die rolls. So in this case, a particular sequence such as 1,1,2,1,6
is an outcome. So is rolling five 4's, because this is a specific outcome (4,4,4,4,4)
6. Which of the following pairs of events are independent?
Select all that apply:
You roll a die twice.
Event A is getting an even number on the
first roll. Event B is getting a 4 on the
second roll.
You roll a die twice.
Event A is getting a 6 on the first
roll. Event B is getting a total of
more than 7.
You flip a coin and roll a die.
ANSWERS 100% CORRECT
1. Paul will roll two standard dice simultaneously. If Event A = both dice are odd and
Event B = at least one die is even, which of the following best describes events A and
B?
Select two answers.
Select all that apply:
Mutually Exclusive
Not Mutually Exclusive
Independent
, Dependent
2. Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the
following are not events in this experiment?
Select all that apply:
drawing 8 hearts
drawing 8 cards
drawing 1 card
drawing 3 kings
(Events are any combinations of outcomes or particular results in an experiment. Drawing 8
cards is the experiment and drawing 1 card is a trial of the experiment, neither of which specify a
result or outcome)
3. Which of the following gives the definition of event?
Select the correct answer below:
the set of all possible outcomes of an experiment
a subset of the set of all outcomes of an experiment
a planned activity carried out under controlled
conditions one specific execution of an
experiment
4. Which of the following gives the definition of trial?
Select the correct answer below:
, a particular result of an
experiment one specific execution
of an experiment
a planned activity carried out under controlled
conditions the set of all possible outcomes of an
experiment
5. Beth is performing an experiment to check if a die is fair. She rolls the die 5 times and
records the sequence of numbers she gets.
Which of these is an outcome of this experiment? Select all correct answers.
, Select all that apply:
Rolling a die
Rolling a die five times
Rolling the sequence 1,1,2,1,6
Rolling five 4's
Rolling the sequence 1,1,2
(An outcome is a specific result of an experiment. So the outcomes of this experiment are all
the possible sequences of five die rolls. So in this case, a particular sequence such as 1,1,2,1,6
is an outcome. So is rolling five 4's, because this is a specific outcome (4,4,4,4,4)
6. Which of the following pairs of events are independent?
Select all that apply:
You roll a die twice.
Event A is getting an even number on the
first roll. Event B is getting a 4 on the
second roll.
You roll a die twice.
Event A is getting a 6 on the first
roll. Event B is getting a total of
more than 7.
You flip a coin and roll a die.
