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Probability - Free MCQ Practice Test with solutions, Class 7 Year 7 Mathematics


MCQ Practice Test & Solutions: Test: Probability (10 Questions)

You can prepare effectively for Class 7 Year 7 Mathematics IGCSE (Cambridge) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Probability". These 10 questions have been designed by the experts with the latest curriculum of Class 7 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Probability - Question 1

What is the probability of rolling a prime number on a standard six-sided die?

Detailed Solution: Question 1

The prime numbers on a six-sided die are 2, 3, and 5. There are three favorable outcomes out of six possible outcomes, so the probability is 3/6 = 1/2.

Test: Probability - Question 2

A bag contains 5 red marbles and 3 blue marbles. What is the probability of picking a red marble randomly from the bag?

Detailed Solution: Question 2

The probability of picking a red marble is 

Test: Probability - Question 3

If the probability of event A happening is 1/4, what is the probability of event A not happening?

Detailed Solution: Question 3

The probability of event A not happening is 1 - 1/4 = 3/4.

Test: Probability - Question 4

A spinner is divided into 8 equal sections, numbered from 1 to 8. What is the probability of landing on a multiple of 3?

  • 3/4
  • 1/2
  • 3/8
  • 1/4

Detailed Solution: Question 4

The spinner has 8 equal sections numbered 1 through 8. The multiples of 3 in this range are 3 and 6, giving 2 favourable outcomes. Therefore the probability is 2/8 = 1/4.

Test: Probability - Question 5

If the probability of an event is 0.75, what is the probability of the complementary event?

Detailed Solution: Question 5

The probability of the complementary event is 1 - 0.75 = 0.25

Test: Probability - Question 6

A deck of cards contains 52 cards. What is the probability of drawing a heart or a diamond from the deck?

Detailed Solution: Question 6

There are 26 cards that are hearts or diamonds out of 52, so the probability is 26/52 = 1/2.

Test: Probability - Question 7

A box contains 4 red balls and 6 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are red?

Detailed Solution: Question 7

The probability of drawing a red ball first is 4/10 and the probability of drawing a red ball second, after one has already been removed, is 3/9. 

Therefore, the combined probability is 4/10 x 3/9 = 2/15.

Test: Probability - Question 8

If the probability of event B happening is 3/8, what is the probability of event B happening twice in a row?

Detailed Solution: Question 8

The probability of event B happening twice in a row is 

Test: Probability - Question 9

Two dice are rolled. What is the probability that the sum of the numbers rolled is 7?

Detailed Solution: Question 9

The pairs that sum to 7 are (1,6), (2,5), (3,4), and (4,3), (5,2), (6,1). There are 6 such pairs out of 36 possible outcomes, so the probability is 6/36 = 1/6.

Test: Probability - Question 10

In a class of 30 students, 18 play football and 12 play basketball. If 6 students play both sports, what is the probability that a randomly chosen student plays at least one sport?

Detailed Solution: Question 10

The number of students who play at least one sport is 18 + 12 - 6 = 24. The probability is 24/30 = 4/5.

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