Q: A 5-digit code is to be formed using the digits 0-9, with no repetition and the first digit cannot be zero. How many such codes are possible?

$$9 \times 9 \times 8 \times 7 \times 6$$

Q: If you select a marble from a jar containing 3 red and 2 blue marbles, and then select another without replacement, what is the probability that both marbles are red?

$$\frac{3}{5} \times \frac{2}{4}$$

Question 1

Which of the following best describes a sample space in probability theory?

Accepted Answer

A set of all possible outcomes of a random experiment.

Question 2

If you roll a fair six-sided die, what is the probability of rolling a prime number?

Accepted Answer

$$\frac{1}{2}$$

Question 3

A restaurant offers 3 salads, 5 main courses, and 2 desserts. How many different three-course meals can be made if you choose one of each?

Accepted Answer

$$3 	imes 5 	imes 2 = 30$$

Question 4

What is the probability of drawing a face card from a standard deck of 52 playing cards?

Accepted Answer

$$\frac{12}{52}$$

Question 5

If the probability of an event A is $$0.3$$, what is the probability of the complement of A?

Accepted Answer

$$0.7$$

Question 6

Suppose you roll two fair dice. What is the probability that the sum is 11?

Accepted Answer

$$\frac{2}{36}$$

Question 7

A family has three children. Assuming each child is equally likely to be a boy or a girl, what is the probability that the family has at least two girls?

Accepted Answer

$$\frac{4}{8}$$

Question 8

What is the probability of drawing a red queen from a standard deck of 52 cards?

Accepted Answer

$$\frac{2}{52}$$

Question 9

If $$n(E) = 3$$ and $$n(S) = 7$$, what are the odds in favor of event E?

Accepted Answer

$$3:4$$

Question 10

Which of the following statements about mutually exclusive events is correct?

Accepted Answer

If A and B are mutually exclusive, then $$A \cap B = \emptyset$$

Question 11

A 5-digit code is to be formed using the digits 0-9, with no repetition and the first digit cannot be zero. How many such codes are possible?

Accepted Answer

$$9 	imes 9 	imes 8 	imes 7 	imes 6$$

Question 12

If the probability of an event is close to 1, how would you describe the event?

Accepted Answer

Very likely to occur

Question 13

What is the probability of drawing an even-numbered card (2, 4, 6, 8, 10) from a standard deck of 52 cards?

Accepted Answer

$$\frac{20}{52}$$

Question 14

If you select a marble from a jar containing 3 red and 2 blue marbles, and then select another without replacement, what is the probability that both marbles are red?

Accepted Answer

$$\frac{3}{5} 	imes \frac{2}{4}$$

Question 15

Which of the following is NOT a property of probability?

Accepted Answer

$$P(A) \u003e 1$$

Question 16

If the probability of getting a sum of 11 when rolling two dice is $$\frac{2}{36}$$, what is the probability of NOT getting a sum of 11?

Accepted Answer

$$1 - \frac{2}{36}$$

Question 17

What is the probability of drawing a diamond from a standard deck of 52 cards?

Accepted Answer

$$\frac{13}{52}$$

Question 18

Which of the following best describes the Law of Large Numbers?

Accepted Answer

As the number of trials increases, the empirical probability approaches the theoretical probability.

Question 19

If you roll a fair die, what are the odds in favor of getting a number less than 4?

Accepted Answer

3:3

Question 20

Which step in the 'TESS' approach involves converting the problem from words to statistical form?

Accepted Answer

T: Translate

Chapter 3: Probability – Basic Concepts and Counting in Statistics

Study Guide - Practice Questions

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