MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
You passed this Milestone
22 questions were answered correctly.
5 questions were answered incorrectly.
1
What is the probability of NOT drawing a face card from a standard deck of 52 cards?
•
•
•
•
RATIONALE
Recall that the probability of a complement, or the probability of something NOT happening, can
be calculated by finding the probability of the event happening, and then subtracting that from 1.
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
Note that there are a total of 12 face cards in a standard deck of 52 cards. So the probability of
NOT getting a face card is equivalent to:
CONCEPT
Complement of an Event
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
2
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 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 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
decreases.
•
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
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.
RATIONALE
The probability that Ryan will pick a red marble on the first try would be 20/60, or 33%. If
Ryan keeps the red marble and doesn't replace it, then the likelihood of a green marble goes from
40/60, or 0.66, from the first try, to 40/59, or 0.678, on the second try. The second try has a
higher probability.
CONCEPT
RATIONALES
You passed this Milestone
22 questions were answered correctly.
5 questions were answered incorrectly.
1
What is the probability of NOT drawing a face card from a standard deck of 52 cards?
•
•
•
•
RATIONALE
Recall that the probability of a complement, or the probability of something NOT happening, can
be calculated by finding the probability of the event happening, and then subtracting that from 1.
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
Note that there are a total of 12 face cards in a standard deck of 52 cards. So the probability of
NOT getting a face card is equivalent to:
CONCEPT
Complement of an Event
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
2
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 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 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
decreases.
•
, MATH 300: MILESTONE 3 Q & A WITH
RATIONALES
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.
RATIONALE
The probability that Ryan will pick a red marble on the first try would be 20/60, or 33%. If
Ryan keeps the red marble and doesn't replace it, then the likelihood of a green marble goes from
40/60, or 0.66, from the first try, to 40/59, or 0.678, on the second try. The second try has a
higher probability.
CONCEPT
