Question 1

Find the probability of the event.
-Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 4?
A) 3
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-Two 6-sided...

Question 2

Find the probability of the event.
-If two 12-sided dice are rolled what is the probability that both numbers will be even?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If two...

Question 3

Find the probability of the event.
-If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If you...

Question 4

List all equally likely outcomes in the sample space for the indicated experiment.
-A coin is tossed, and then a die is rolled.
A) {(h, 1), (h, 2), (h, 3), (h, 4), (h, 5), (h, 6), (t, 1), (t, 2), (t, 3), (t, 4), (t, 5), (t, 6)}
B) {(1, h), (2, h), (3, h), (4, h), (5, h), (6, h), (1, t), (2, t), (3, t), (4, t), (5, t), (6, t)}
C) {(2, 6)}
D) {(h, t, 1, 2, 3, 4, 5, 6)}

Accepted Answer

The sample space combines each outcome of the coin toss (heads or tails) with each outcome of the die roll (1 through 6), resulting in 12 equally likely outcomes.

Question 5

List all equally likely outcomes in the sample space for the indicated experiment.
-A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.
A) {(2, 3)}
B) {(1,1), (1,2), (2, 1), (2, 2), (3, 1), (3, 2)}
C) {(1, 2, 3)}
D) {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}

Accepted Answer

The sample space consists of all possible pairs where the first element is a blue card (1 or 2) and the second is a green card (1, 2, or 3), resulting in 6 possible outcomes.

Question 6

Find the probability of the event.
-Give the probability that the roll of a die will show 4 or 3.
A) 2
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-Give the...

Question 7

List all equally likely outcomes in the sample space for the indicated experiment.
-The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.
A) {(4, 2)}
B) {(club, diamond, heart, spade, head, tail)}
C) {(head, spade), (head, club), (head, heart), (head, diamond), (tail, spade), (tail, club), (tail, heart), (tail,diamond)}
D) {(spade, head), (club, head), (heart, head), (diamond, head), (spade, tail), (club, tail), (heart, tail), (diamond,tail)}

Accepted Answer

The sample space consists of all combinations of selecting one of the four queens (spade, club, heart, diamond) and tossing a coin (head, tail).

Question 8

Find the probability of the event.
-A coin and a six-sided die are tossed. What is the probability of getting tails and a number less than or equal to 1?
A) 0
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-A coin...

Question 9

List all equally likely outcomes in the sample space for the indicated experiment.
-Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.
A) {(r, p), (r, s), (p, s)}
B) {(r, r), (r, p), (r, s), (p, r), (p, p), (p, s), (s, r), (s, p), (s, s)}
C) {(3, 3)}
D) {(r, p), (r, s), (p, r), (p, s), (s, r), (s, p)}

Accepted Answer

Each person can draw any of the three slips independently, resulting in 3x3=9 equally likely outcomes.

Question 10

List all equally likely outcomes in the sample space for the indicated experiment.
-A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.
A) {(3, 4)}
B) {(1, 2, 3, 4)}
C) {(1, 1), (1, 2), (1, 3), (1, 4),(2, 1), (2, 2), (2, 3), (2, 4),(3, 1), (3, 2), (3, 3), (3, 4)}
D) {(1, 1), (1, 2), (1, 3), (2, 1),(2, 2), (2, 3), (3, 1), (3, 2),(3, 3), (4, 1), (4, 2), (4, 3)}

Accepted Answer

Option C correctly lists all the combinations of picking a blue card (numbered 1 through 3) followed by a green card (numbered 1 through 4), resulting in 12 possible outcomes.

Question 11

Find the probability of the event.
-If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If you...

Question 12

Find the probability of the event.
-If 7 coins are flipped, what is the probability of getting 3 or more heads?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If 7...

Question 13

Find the probability of the event.
-When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 7.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-When a...

Question 14

Find the probability of the event.
-Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 6?
A) 1
B) 
C) 
D) 5

Accepted Answer

The answer of Find the probability of the event.
-Two 6-sided...

Question 15

Find the probability of the event.
-Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?
A) 
B) 
C) 3
D)

Accepted Answer

The answer of Find the probability of the event.
-Two 6-sided...

Question 16

Find the probability of the event.
-Give the probability that the roll of a die will show a number less than 7.
A) 
B) 
C) 1
D)

Accepted Answer

The answer of Find the probability of the event.
-Give the...

Question 17

Find the probability of the event.
-If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a black on the first card and a heart on the second.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If you...

Question 18

Find the probability of the event.
-When a single card is drawn from an ordinary 52-card deck, find the probability of getting a jack.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-When a...

Question 19

Find the probability of the event.
-If a single coin is tossed four times, then what is the probability of getting exactly four tails?
A) 
B) 0
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-If a...

Question 20

Find the probability of the event.
-When a single card is drawn from an ordinary 52-card deck, find the probability of getting a red card.
A) 
B) 2
C) 
D)

Accepted Answer

The answer of Find the probability of the event.
-When a...

Quiz 11: Sequences, Series, and Probability

Find the probability of the event. -Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 4?

Find the probability of the event. -If two 12-sided dice are rolled what is the probability that both numbers will be even?

Find the probability of the event. -If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.

List all equally likely outcomes in the sample space for the indicated experiment. -A coin is tossed, and then a die is rolled.

List all equally likely outcomes in the sample space for the indicated experiment. -A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.

Find the probability of the event. -Give the probability that the roll of a die will show 4 or 3.

List all equally likely outcomes in the sample space for the indicated experiment. -The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.

Find the probability of the event. -A coin and a six-sided die are tossed. What is the probability of getting tails and a number less than or equal to 1?

List all equally likely outcomes in the sample space for the indicated experiment. -Two people, each with a well shaken box containing 3 slips of paper labeled rock, paper, and scissors, draw one slip each.

List all equally likely outcomes in the sample space for the indicated experiment. -A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Find the probability of the event. -If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

Find the probability of the event. -If 7 coins are flipped, what is the probability of getting 3 or more heads?

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 7.

Find the probability of the event. -Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 6?

Find the probability of the event. -Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

Find the probability of the event. -Give the probability that the roll of a die will show a number less than 7.

Find the probability of the event. -If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a black on the first card and a heart on the second.

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a jack.

Find the probability of the event. -If a single coin is tossed four times, then what is the probability of getting exactly four tails?

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a red card.