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?

  • A14
  • B16
  • C112
  • D512
  • E13

Q2:

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

  • A12
  • B712
  • C512
  • D34

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?

  • A23
  • B56
  • C13
  • D12
  • E16

Q4:

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

  • A12
  • B14
  • C38
  • D58

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?

  • A35
  • B1
  • C0
  • D225
  • E1425

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?

  • A815
  • B1529
  • C91435
  • D829

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?

  • A15
  • B1049
  • C528
  • D314

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?

  • A1932
  • B532
  • C332
  • D2732
  • E116

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.

  • A25
  • B35
  • C2855
  • D111
  • E1011

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.

  • A317
  • B817
  • C517
  • D1517
  • E1017

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