# Worksheet: Sample Space and Probability

Q1:

A card is drawn at random from a pack of cards numbered from 1 to 32. Write the set of outcomes that the number on the card is odd and divisible by 3?

• A
• B
• C
• D
• E

Q2:

Which of the following represents the sample space of choosing at random a prime number between 3 and 59?

• A
• B
• C
• D
• E

Q3:

Two distinct digits are chosen at random from the set . What is the probability that either of the digits is an odd number?

• A
• B
• C
• D
• E

Q4:

I write a two-digit number by randomly picking each digit from the set , where a digit can be repeated. Write the set of outcomes that is the event that the number is prime.

• A
• B
• C
• D
• E

Q5:

In an experiment a coin is flipped repeatedly until the first time it lands heads side up, or until it lands tails side up three times in a row. Determine the set for event , which is the appearance of at least two tails.

• A
• B
• C
• D
• E

Q6:

A bag contains 4 red balls and 6 brown balls. Which of the following represents the sample space of choosing a ball at random and recording its color?

• A{brown}
• B{red}
• C{red, red}
• D{red, brown}
• E{brown, brown}

Q7:

In an experiment a coin is repeatedly flipped until it lands head side up, or it lands tail side up three times in a row. Determine the set representing event , which is the appearance of at least one head.

• A
• B
• C
• D
• E

Q8:

Given that the sample space is the set of all 2-digit numbers whose digits are different and belong to , write the event that the number is odd.

• A
• B
• C
• D
• E

Q9:

What is the probability of choosing at random, two numbers which sum to 9, from the set ? You are allowed to pick the same number more than once.

• A
• B
• C
• D
• E

Q10:

In a random experiment, a ball is chosen at random from a box that contains four balls: one blue, one purple, one brown, and one white. List all the possible outcomes of this experiment.

• A{blue, white, gray, purple}
• B{blue, purple, brown}
• C{brown, white, purple}
• D{purple, blue, brown, white}
• E{purple, white, brown, orange}

Q11:

I write a two-digit number by randomly picking each digit from the set , where a digit can be repeated. What is the probability that the product of the two digits is 32?

• A
• B
• C
• D
• E

Q12:

In an experiment a coin is repeatedly flipped until it lands head side up or it lands tail side up three times in a row. Determine the subset of the experiment's sample space representing event , which is the appearance of at least two heads.

• A
• B
• C
• D
• E

Q13:

A bag contains 20 identical cards numbered 1 to 20. A card is selected at random, and the number written on it is recorded. Write the set representing event , where the recorded number, , satisfies the inequality .

• A
• B
• C
• D
• E

Q14:

Two separate regular dice are rolled, and the numbers on their upper faces noted. Write down the sample space of the event , which is the appearance of two numbers such that one of them is twice the other.

• A
• B
• C
• D
• E

Q15:

I write a two-digit number by randomly selecting two different digits from the set . Which of the following represents the event that there is an odd digit in the tens position?

• A
• B
• C
• D
• E

Q16:

Write, as a subset of the sample space, the event of rolling a number greater than 1 on a fair die.

• A
• B
• C
• D
• E

Q17:

A fair coin is flipped and and a fair dice is rolled. Which of the following represents the event of rolling a number which is divisible by 3?

• A
• B
• C
• D

Q18:

I write a two-digit number by randomly picking each digit from the set , where digits can be repeated. Which of the following is the event that the number is odd?

• A
• B
• C
• D
• E

Q19:

Which of the following denotes the sample space of selecting an even number between 39 and 52 at random?

• A
• B
• C
• D
• E

Q20:

Which of the following denotes the sample space of selecting an even number between 37 and 54 at random?

• A
• B
• C
• D
• E

Q21:

Which of the following is the definition of a sample space?

• A the set of some possible outcomes of a random experiment
• B one of the possible outcomes of a random experiment
• C the set of all the possible outcomes of a random experiment

Q22:

A fair coin is flipped and a fair die is rolled. Which of the following represents the event of the coin landing tail-side up and an even number on the die?

• A
• B
• C
• D

Q23:

Two fair dice are rolled. Which of the following represents the event of rolling the same number on both dice?

• A
• B
• C
• D

Q24:

Which of the following represents the sample space of flipping a coin and rolling a die?

• A
• B
• C
• D

Q25:

I write a two-digit number by randomly picking each digit from the set , where digits can be repeated. Write the set that represents the event that the number is divisible by 7.

• A
• B
• C
• D
• E