Milestone 3 ) Exam Questions
and Correct Solutions
What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half - Correct Answers: 10 over 13
Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could
make a flush (five cards of the same suit). There are 10 cards left in the deck, and three are hearts.
What is the probability that the two cards dealt to Satara (without replacement) will both be hearts?
Answer choices are in percentage format, rounded to the nearest whole number.
26%
7%
60%
30% - Correct Answers: 7%
Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event
A has happened [P(B|A)]?
0.63
0.24
0.41
0.77 - Correct Answers: 0.63
A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the
bag at random, hoping to pick a red marble.
Which of the following statements is true?
The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble decreases.
, The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble increases.
The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble increases.
The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks
another from the bag, the probability that he will pick a gre - Correct Answers: The probability that Ryan
will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the
probability that he will pick a green marble increases.
Which of the following is a property of binomial distributions?
All trials are dependent.
The sum of the probabilities of successes and failures is always 1.
The expected value is equal to the number of successes in the experiment.
There are exactly three possible outcomes for each trial. - Correct Answers: The sum of the probabilities
of successes and failures is always 1.
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to
record the total number of red cards that he selects and calculates the proportion of red cards that he
has selected so far after each pick. He then constructs a graph to visualize his results.
Which of the following statements is FALSE?
The theoretical probability for selecting a red card in each pick is 0.5.
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has
picked so far.
This is an example of the law of large numbers.
The relative frequency of selecting a red card changes with the increase in number of selections. -
Correct Answers: For a given number of selections, we can use Joseph's graph to find the number of
diamonds that he has picked so far.
Which of the following situations describes a continuous distribution?
A probability distribution showing the amount of births in a hospital in a month
A probability distribution showing the number of vaccines given to babies during their first year of life
A probability distribution showing the weights of newborns
and Correct Solutions
What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half - Correct Answers: 10 over 13
Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could
make a flush (five cards of the same suit). There are 10 cards left in the deck, and three are hearts.
What is the probability that the two cards dealt to Satara (without replacement) will both be hearts?
Answer choices are in percentage format, rounded to the nearest whole number.
26%
7%
60%
30% - Correct Answers: 7%
Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event
A has happened [P(B|A)]?
0.63
0.24
0.41
0.77 - Correct Answers: 0.63
A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the
bag at random, hoping to pick a red marble.
Which of the following statements is true?
The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble decreases.
, The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble increases.
The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks
another from the bag, the probability that he will pick a green marble increases.
The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks
another from the bag, the probability that he will pick a gre - Correct Answers: The probability that Ryan
will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the
probability that he will pick a green marble increases.
Which of the following is a property of binomial distributions?
All trials are dependent.
The sum of the probabilities of successes and failures is always 1.
The expected value is equal to the number of successes in the experiment.
There are exactly three possible outcomes for each trial. - Correct Answers: The sum of the probabilities
of successes and failures is always 1.
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to
record the total number of red cards that he selects and calculates the proportion of red cards that he
has selected so far after each pick. He then constructs a graph to visualize his results.
Which of the following statements is FALSE?
The theoretical probability for selecting a red card in each pick is 0.5.
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has
picked so far.
This is an example of the law of large numbers.
The relative frequency of selecting a red card changes with the increase in number of selections. -
Correct Answers: For a given number of selections, we can use Joseph's graph to find the number of
diamonds that he has picked so far.
Which of the following situations describes a continuous distribution?
A probability distribution showing the amount of births in a hospital in a month
A probability distribution showing the number of vaccines given to babies during their first year of life
A probability distribution showing the weights of newborns
