MATH 225N Week 4 Probability Question Answers
,Week 4 Homework Questions Probability
1. Which of the pairs of events below is dependent?
Select the correct answer below:
drawing a 7 and then drawing another 7 with replacement from a standard deck
of cards rolling a 1 and then rolling a 6 with a standard die
rolling a 3 and then rolling a 4 with a standard die
drawing a heart and then drawing a spade without replacement from a standard deck of card
2. Identify the option below that represents dependent events.
Select the correct answer below:
drawing a face card and then drawing a 3 without replacement from a standard deck
of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4
from the second two rolls drawing a 2 and drawing a 4 with replacement from a
standard deck of cards
drawing a heart and drawing another heart with replacement from a standard deck of cards
3. Which of the following shows mutually exclusive events?
Select the correct answer below:
rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll
drawing a red card and then drawing a black card with replacement from a standard
deck of cards drawing a jack and then drawing a 7 without replacement from a
standard deck of cards
drawing a 7 and then drawing another 7 with replacement from a standard deck of cards
4. Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from
a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard
deck of cards drawing a jack and then drawing a 7 without replacement from a
,standard deck of cards
, (Mutually exclusive events are events that cannot occur together. In this case, drawing an ace of spades
and then drawing another ace of spades without replacement from a standard deck of cards are two
events that cannot possibly occur together.)
5. A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards
numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked
at random, what is the probability that the card has an ODD number?
Select the correct answer below:
10/15
8/15
14/15
6/15
(By counting, we can see that there are 8 odd cards, and a total of 15 cards in the deck. So the
probability is 8/15).
6. Hector is a baseball fan but wants to watch something different. There are 5 basketball
games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly
chooses a game, what is the probability that it is a basketball game?
• Give your answer as a fraction.
Provide your answer below: 5/11
7. There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one
card is chosen at random, what is the probability that it is not between the letters L and P,
inclusive?
Provide your answer below: 21/26
8. A spinner contains the numbers 1 through 80. What is the probability that the spinner
will land on a number that is not a multiple of 12?
• Give your answer in fraction form.
Provide your answer below: 74/80
9. An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6
vases, and 2 statues. If she chooses the piece at random, what is the probability that she
selects a
painting?
,Week 4 Homework Questions Probability
1. Which of the pairs of events below is dependent?
Select the correct answer below:
drawing a 7 and then drawing another 7 with replacement from a standard deck
of cards rolling a 1 and then rolling a 6 with a standard die
rolling a 3 and then rolling a 4 with a standard die
drawing a heart and then drawing a spade without replacement from a standard deck of card
2. Identify the option below that represents dependent events.
Select the correct answer below:
drawing a face card and then drawing a 3 without replacement from a standard deck
of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4
from the second two rolls drawing a 2 and drawing a 4 with replacement from a
standard deck of cards
drawing a heart and drawing another heart with replacement from a standard deck of cards
3. Which of the following shows mutually exclusive events?
Select the correct answer below:
rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll
drawing a red card and then drawing a black card with replacement from a standard
deck of cards drawing a jack and then drawing a 7 without replacement from a
standard deck of cards
drawing a 7 and then drawing another 7 with replacement from a standard deck of cards
4. Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from
a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard
deck of cards drawing a jack and then drawing a 7 without replacement from a
,standard deck of cards
, (Mutually exclusive events are events that cannot occur together. In this case, drawing an ace of spades
and then drawing another ace of spades without replacement from a standard deck of cards are two
events that cannot possibly occur together.)
5. A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards
numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked
at random, what is the probability that the card has an ODD number?
Select the correct answer below:
10/15
8/15
14/15
6/15
(By counting, we can see that there are 8 odd cards, and a total of 15 cards in the deck. So the
probability is 8/15).
6. Hector is a baseball fan but wants to watch something different. There are 5 basketball
games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly
chooses a game, what is the probability that it is a basketball game?
• Give your answer as a fraction.
Provide your answer below: 5/11
7. There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one
card is chosen at random, what is the probability that it is not between the letters L and P,
inclusive?
Provide your answer below: 21/26
8. A spinner contains the numbers 1 through 80. What is the probability that the spinner
will land on a number that is not a multiple of 12?
• Give your answer in fraction form.
Provide your answer below: 74/80
9. An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6
vases, and 2 statues. If she chooses the piece at random, what is the probability that she
selects a
painting?
