Basic Probability and Frequency — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)A ten-sided die is numbered 1 to 10. Calculate the probability of rolling a prime number.

Question 2

[2](a)A biased coin has P(heads) = 1/6… a spinner has P(landing on red) = 1/6. It is spun 300 times. Calculate the expected number of times it lands on red.

Question 3

[1](a)The probability that it rains tomorrow is 0.35. Calculate the probability it does not rain.

Question 4

[2](a)A spinner has probability 0.2 of landing on green. It is spun 150 times. Calculate the expected number of green results.

Question 5

[1](a)A fair six-sided die is rolled. Calculate the probability of rolling an even number.

Question 6

[1](a)A bag contains only red and blue balls. P(red) = 3/8. Calculate P(blue).

Question 7

[1](a)A coin is tossed 80 times and lands heads 45 times. Calculate the relative frequency of heads.

Question 8

[2](a)Events A and B are mutually exclusive, with P(A)=0.3 and P(B)=0.25. Calculate P(A or B).

Question 9

[2](a)Explain the difference between theoretical probability and relative frequency (experimental probability).

Question 10

[2](a)A letter is chosen at random from the word MATHEMATICS. Calculate the probability it is the letter M.

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