Question 1

In a bag, there are 3 red balls, 5 blue balls, and 2 green balls. If you randomly select one ball, what is the probability distribution of selecting each color?

Accepted Answer

P(Red) = 0.3, P(Blue) = 0.5, P(Green) = 0.2

Answer

P(Red) = 0.5, P(Blue) = 0.3, P(Green) = 0.2

Answer

P(Red) = 0.25, P(Blue) = 0.75, P(Green) = 0

Answer

P(Red) = 0.4, P(Blue) = 0.4, P(Green) = 0.2

Question 2

A die is rolled. What is the probability distribution for each outcome (1 through 6)?

Accepted Answer

P(1) = 1/6, P(2) = 1/6, P(3) = 1/6, P(4) = 1/6, P(5) = 1/6, P(6) = 1/6

Answer

P(1) = 1/4, P(2) = 1/4, P(3) = 1/4, P(4) = 1/4

Answer

P(1) = 1/2, P(2) = 1/2, P(3) = 1/2, P(4) = 1/2

Answer

P(1) = 1/3, P(2) = 1/3, P(3) = 1/3, P(4) = 1/3

Question 3

A deck of cards contains 4 aces, 4 kings, 4 queens, and 4 jacks. If you draw one card randomly, what is the probability distribution for drawing each type of card?

Accepted Answer

P(Ace) = 0.25, P(King) = 0.25, P(Queen) = 0.25, P(Jack) = 0.25

Answer

P(Ace) = 0.5, P(King) = 0.2, P(Queen) = 0.2, P(Jack) = 0.1

Answer

P(Ace) = 0.4, P(King) = 0.3, P(Queen) = 0.2, P(Jack) = 0.1

Answer

P(Ace) = 0.2, P(King) = 0.3, P(Queen) = 0.3, P(Jack) = 0.2

Question 4

A spinner is divided into 3 equal sections labeled A, B, and C. If you spin the spinner once, what is the probability distribution for landing on each section?

Accepted Answer

P(A) = 1/3, P(B) = 1/3, P(C) = 1/3

Answer

P(A) = 0.5, P(B) = 0.25, P(C) = 0.25

Answer

P(A) = 0.4, P(B) = 0.4, P(C) = 0.2

Answer

P(A) = 0.2, P(B) = 0.3, P(C) = 0.5

Question 5

In a bag, there are 10 marbles: 4 red, 3 green, and 3 yellow. If you randomly draw one marble, what is the probability distribution for each color?

Accepted Answer

P(Red) = 0.4, P(Green) = 0.3, P(Yellow) = 0.3

Answer

P(Red) = 0.5, P(Green) = 0.2, P(Yellow) = 0.3

Answer

P(Red) = 0.3, P(Green) = 0.4, P(Yellow) = 0.3

Answer

P(Red) = 0.2, P(Green) = 0.5, P(Yellow) = 0.3

Question 6

A fruit basket contains 6 apples, 3 bananas, and 1 orange. If you pick one fruit at random, what is the probability distribution for picking each type of fruit?

Accepted Answer

P(Apple) = 0.6, P(Banana) = 0.3, P(Orange) = 0.1

Answer

P(Apple) = 0.7, P(Banana) = 0.2, P(Orange) = 0.1

Answer

P(Apple) = 0.5, P(Banana) = 0.4, P(Orange) = 0.1

Answer

P(Apple) = 0.3, P(Banana) = 0.3, P(Orange) = 0.4

Question 7

An urn contains 5 black balls, 7 white balls, and 8 red balls. If one ball is drawn randomly, what is the probability distribution for drawing each color?

Accepted Answer

P(Black) = 0.2, P(White) = 0.28, P(Red) = 0.32

Answer

P(Black) = 0.25, P(White) = 0.35, P(Red) = 0.4

Answer

P(Black) = 0.15, P(White) = 0.3, P(Red) = 0.55

Answer

P(Black) = 0.3, P(White) = 0.4, P(Red) = 0.3

Question 8

A box contains 2 blue, 3 green, and 5 yellow beads. If one bead is selected at random, what is the probability distribution for selecting each color?

Accepted Answer

P(Blue) = 0.2, P(Green) = 0.3, P(Yellow) = 0.5

Answer

P(Blue) = 0.4, P(Green) = 0.4, P(Yellow) = 0.2

Answer

P(Blue) = 0.1, P(Green) = 0.4, P(Yellow) = 0.5

Answer

P(Blue) = 0.25, P(Green) = 0.25, P(Yellow) = 0.5

Question 9

A jar contains 4 red, 6 blue, and 10 green candies. What is the probability distribution of randomly selecting each color of candy?

Accepted Answer

P(Red) = 0.2, P(Blue) = 0.3, P(Green) = 0.5

Answer

P(Red) = 0.3, P(Blue) = 0.3, P(Green) = 0.4

Answer

P(Red) = 0.25, P(Blue) = 0.25, P(Green) = 0.5

Answer

P(Red) = 0.1, P(Blue) = 0.4, P(Green) = 0.5

Question 10

A basket contains 8 oranges, 12 apples, and 10 bananas. If you randomly pick one fruit, what is the probability distribution for selecting each type of fruit?

Accepted Answer

P(Orange) = 0.2, P(Apple) = 0.3, P(Banana) = 0.25

Answer

P(Orange) = 0.3, P(Apple) = 0.3, P(Banana) = 0.4

Answer

P(Orange) = 0.1, P(Apple) = 0.4, P(Banana) = 0.5

Answer

P(Orange) = 0.25, P(Apple) = 0.35, P(Banana) = 0.4

Question 11

A bag contains 3 red, 2 green, and 5 blue marbles. If one marble is drawn randomly, what is the probability distribution of the colors?

Accepted Answer

{ "Red": 0.3, "Green": 0.2, "Blue": 0.5 }

Answer

{ "Red": 0.5, "Green": 0.2, "Blue": 0.3 }

Answer

{ "Red": 0.2, "Green": 0.3, "Blue": 0.5 }

Answer

{ "Red": 0.4, "Green": 0.3, "Blue": 0.3 }

Question 12

A die is rolled once. What is the probability distribution of the outcomes for the values 1, 2, 3, 4, 5, and 6?

Accepted Answer

{ "1": 0.1667, "2": 0.1667, "3": 0.1667, "4": 0.1667, "5": 0.1667, "6": 0.1667 }

Answer

{ "1": 0.25, "2": 0.25, "3": 0.25, "4": 0.25, "5": 0, "6": 0 }

Answer

{ "1": 0.2, "2": 0.2, "3": 0.2, "4": 0.2, "5": 0.1, "6": 0.1 }

Answer

{ "1": 0.1, "2": 0.1, "3": 0.2, "4": 0.2, "5": 0.2, "6": 0.2 }

Question 13

A box contains 4 chocolates, 3 candies, and 3 cookies. If a single item is picked at random, what is the probability distribution for picking a chocolate, candy, or cookie?

Accepted Answer

{ "Chocolate": 0.4, "Candy": 0.3, "Cookie": 0.3 }

Answer

{ "Chocolate": 0.3, "Candy": 0.3, "Cookie": 0.4 }

Answer

{ "Chocolate": 0.5, "Candy": 0.25, "Cookie": 0.25 }

Answer

{ "Chocolate": 0.25, "Candy": 0.4, "Cookie": 0.35 }

Question 14

A jar contains 6 red balls, 8 blue balls, and 6 yellow balls. If a ball is selected at random, what is the probability distribution for drawing a red, blue, or yellow ball?

Accepted Answer

{ "Red": 0.3, "Blue": 0.4, "Yellow": 0.3 }

Answer

{ "Red": 0.3, "Blue": 0.3, "Yellow": 0.4 }

Answer

{ "Red": 0.2, "Blue": 0.5, "Yellow": 0.3 }

Answer

{ "Red": 0.4, "Blue": 0.3, "Yellow": 0.3 }

Question 15

A deck of cards contains 52 cards, including 4 aces. If you draw one card randomly, what is the probability distribution for drawing an ace or not drawing an ace?

Accepted Answer

{ "Ace": 0.0769, "Not Ace": 0.9231 }

Answer

{ "Ace": 0.2, "Not Ace": 0.8 }

Answer

{ "Ace": 0.1, "Not Ace": 0.9 }

Answer

{ "Ace": 0.0769, "Not Ace": 0.8231 }

Question 16

In a game, a spinner is divided into 4 equal sections numbered 1 to 4. What is the probability distribution of landing on each number if spun once?

Accepted Answer

{ "1": 0.25, "2": 0.25, "3": 0.25, "4": 0.25 }

Answer

{ "1": 0.3, "2": 0.3, "3": 0.2, "4": 0.2 }

Answer

{ "1": 0.4, "2": 0.2, "3": 0.2, "4": 0.2 }

Answer

{ "1": 0.2, "2": 0.2, "3": 0.3, "4": 0.3 }

Question 17

A box contains 10 apples, 5 bananas, and 5 oranges. If a single fruit is selected at random, what is the probability distribution for each type of fruit?

Accepted Answer

{ "Apple": 0.5, "Banana": 0.25, "Orange": 0.25 }

Answer

{ "Apple": 0.25, "Banana": 0.5, "Orange": 0.25 }

Answer

{ "Apple": 0.3, "Banana": 0.2, "Orange": 0.5 }

Answer

{ "Apple": 0.4, "Banana": 0.3, "Orange": 0.3 }

Question 18

A lottery has tickets numbered from 1 to 100. If a ticket is drawn at random, what is the probability distribution for drawing a ticket with a number divisible by 5?

Accepted Answer

{ "Divisible by 5": 0.2, "Not Divisible by 5": 0.8 }

Answer

{ "Divisible by 5": 0.3, "Not Divisible by 5": 0.7 }

Answer

{ "Divisible by 5": 0.15, "Not Divisible by 5": 0.85 }

Answer

{ "Divisible by 5": 0.25, "Not Divisible by 5": 0.75 }

Question 19

A vending machine has 4 types of snacks: 10 chips, 5 chocolate bars, 3 cookies, and 2 gummies. If a snack is selected randomly, what is the probability distribution for each type of snack?

Accepted Answer

{ "Chips": 0.5, "Chocolate Bars": 0.25, "Cookies": 0.15, "Gummies": 0.1 }

Answer

{ "Chips": 0.4, "Chocolate Bars": 0.3, "Cookies": 0.2, "Gummies": 0.1 }

Answer

{ "Chips": 0.35, "Chocolate Bars": 0.35, "Cookies": 0.2, "Gummies": 0.1 }

Answer

{ "Chips": 0.3, "Chocolate Bars": 0.3, "Cookies": 0.2, "Gummies": 0.2 }

Question 20

In a raffle, there are 30 tickets numbered from 1 to 30. If a ticket is chosen at random, what is the probability distribution for the ticket having an even or odd number?

Accepted Answer

{ "Even": 0.5, "Odd": 0.5 }

Answer

{ "Even": 0.7, "Odd": 0.3 }

Answer

{ "Even": 0.6, "Odd": 0.4 }

Answer

{ "Even": 0.4, "Odd": 0.6 }

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