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A bag contains 6 cherry 3 orange and 2 lemon candies
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# Question : A bag contains 6 cherry 3 orange and 2 lemon candies : 2151697

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability.

1) All cherry

A) 0.7272

B) 0.3636

C) 0.1091

D) 0.1212

2) All orange

A) 0.0011

B) 0.0182

C) 0.0061

D) 0.7272

3) All lemon

A) 0.1212

B) 0.061

C) 1

D) 0

4) 2 cherry, 1 lemon

A) 0.7272

B) 0.1212

C) 0.1818

D) 0.3636

5) One of each flavor

A) 0.3636

B) 0.1818

C) 0.2182

D) 0.0667

6) 2 orange, 1 lemon

A) 0.0303

B) 0.3636

C) 0.0364

D) 0.1091

7) 1 cherry, 2 lemon

A) 0.0303

B) 0.0424

C) 0.3636

D) 0.0364

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.

8) A royal flush (5 highest cards of a single suit) in poker

A) 2.75 × 10-4

B) 1.98 × 10-3

C) 1.54 × 10-6

D) 3.85 × 10-7

9) In poker, a flush (5 in same suit) in any suit

A) 0.00198

B) 0.000347

C) 0.00122

D) 0.000495

10) In poker, a full house (3 cards of one value, 2 of another value)

A) 3.85 × 10-5

B) 6.55 × 10-3

C) 9.20 × 10-6

D) 1.44 × 10-3

11) In poker, four of a kind (4 cards of the same value)

A) 1.85 × 10-5

B) 2.00 × 10-5

C) 4.34 × 10-4

D) 2.40 × 10-4

12) In poker, a straight flush (5 in a row in a single suit, but not a royal flush)

A) 1.39 × 10-5

B) 9.23 × 10-6

C) 2.31 × 10-6

D) 1.23 × 10-5

13) In bridge, 6 of one suit, 4 of another, and 3 of another

A) 0.0022

B) 0.0060

C) 0.0133

D) 0.00055

14) In bridge, all cards in one suit

A) 3.14 × 10-11

B) 1.57 × 10-12

C) 6.30 × 10-12

D) 3.14 × 10-12

15) In bridge, 4 aces

A) 0.00118

B) 0.01056

C) 0.00264

D) 0.00059

16) In bridge, exactly 3 kings and exactly 3 queens

A) 0.00024

B) 0.00097

C) 0.00337

D) 0.00018

Solve.

17) A 6-sided die is rolled. What is the probability of rolling a number less than 6?

A) 5/7

B) 1/6

C) 5/6

D) 1/3

18) Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 3?

A) 2

B) 1/2

C) 17/18

D) 1/18

19) 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) 1/12

B) 3

C) 5/18

D) 1/18

20) A lottery game contains 26 balls numbered 1 through 26. What is the probability of choosing a ball numbered 27?

A) 1/26

B) 26

C) 1

D) 0

21) In a state lotto you have to pick 4 numbers from 1 to 46. If your numbers match those that the state draws, you win. If you buy 3 tickets, what is your probability of winning?

A) 1/163185

B) 8/489555

C) 1/54395

D) 7/489555

Solve the problem.

22) Estimate the probability that at least 2 of the 50 state governors have the same birthday.

A) 0.956

B) 0.965

C) 0.970

D) 0.950

23) What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday?

A) 0.996

B) 0.995

C) 0.999

D) 1

24) What is the probability that at least 2 students in a class of 36 have the same birthday?

A) 0.849

B) 0.832

C) 0.814

D) 0.799

25) An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor.

A) 0.410

B) 0.500

C) 0.610

D) 0.910

26) At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C. If the council consists of 5 people, find the probability of 3 from town A and 2 from town B.

A) 0.072

B) 0.036

C) 0.023

D) 0.076

27) At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C. If the council consists of 5 people, find the probability of 2 from town A, 2 from town B, and 1 from town C.

A) 0.076

B) 0.038

C) 0.090

D) 0.189

28) Suppose 6 people sit at a circular table. Find the probability that 2 particular people are sitting next to each other.

A) 0.2

B) 0.4

C) 0.1

D) 0.33

29) A ring contains 8 keys: 1 red, 1 blue, and 6 gold. If the keys are arranged at random on the ring, find the probability that the red is next to the blue.

A) 0.047

B) 0.143

C) 0.286

D) 0.25

30) A roulette wheel contains 24 slots numbered 1 through 24. The odd number slots are colored purple and even number slots are colored blue. When the wheel is spun, a ball rolls around the rim and falls into a slot. What is the probability that the ball falls into an even number slot?

A) 0.6

B) 0.52

C) 0.5

D) 0.45

31) A roulette wheel contains 84 slots numbered 1 through 84. The slots 1,4,7,¼ are red, the slots 2,5,8, ¼ are green, and the slots 3, 6, 9,.... are brown. When the wheel is spun, a ball rolls around the rim and falls into a slot. What is the probability that the ball falls into a green slot?

A) 2/5

B) 2/3

C) 1/4

D) 1/3

## Solution 5 (1 Ratings )

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