# Lesson Worksheet: Compound Events Mathematics • 7th Grade

In this worksheet, we will practice determining the sample space and the probability of compound events.

Q1:

A fair six-sided die with the numbers 1 to 6 is rolled, and a fair coin is flipped. What is the probability that the number obtained on the die is a factor of 12 and the coin lands with its heads side down?

• A
• B
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• D
• E

Q2:

In an experiment a coin is flipped and a die is rolled once. Event is the appearance of a head and a prime number. Event is the appearance of an even number. Find the probability of event or event occurring but not both.

• A
• B
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• D

Q3:

One letter is randomly selected from the word EVEN, and another is randomly selected from the word LETTER. What is the probability that both letters are vowels?

• A
• B
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• D
• E

Q4:

A coin is flipped three consecutive times. What is the probability of only getting one head?

• A
• B
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• D

Q5:

A card is drawn at random from a deck of cards numbered from 1 to 25. What is the probability that the card drawn has a number which is a factor of 10 or is even?

• A
• B1
• C0
• D
• E

Q6:

A bag contains 16 white balls and 14 red balls. Two balls are drawn consecutively without replacement. What is the probability that both balls are white?

• A
• B
• C
• D

Q7:

A bag contains 6 blue balls and 15 red balls. If two balls are drawn without replacement, what is the probability of getting one blue ball and one red ball?

• A
• B
• C
• D

Q8:

A bag contains 32 balls. There are 27 red balls numbered from 1 to 27 and 5 white balls numbered from 28 to 32. If a ball is chosen at random from the bag, what is the probability that the ball is white or has an odd number?

• A
• B
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• E

Q9:

In a sample of 55 people, 28 of them have brown hair and 22 of them have blue eyes. 5 of them have neither brown hair nor blue eyes. What is the probability that a random person from the sample has at least one of these features.

• A
• B
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• D
• E

Q10:

A classroom has 24 boys and 10 girls, where 10 boys and 6 girls wear glasses. Calculate the probability that a randomly selected student is a girl or wears glasses.

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• B
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• E