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Probability

8 questions · EasyMediumHard

Probability = favourable outcomes ÷ total outcomes, always between 0 and 1. List the sample space carefully before you count.

💡 Quick tricks

  1. A die has 6 equal outcomes; a coin has 2.
  2. P(not A) = 1 − P(A), which is often quicker than counting directly.
  3. Even numbers on a die are 2, 4 and 6, so the probability is 3/6 = 1/2.
8 questions

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

  1. Q1Easy

    A die is rolled. Probability of getting a multiple of 3?

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    Answer: D. 1/3

    💡 2 of the 6 faces qualify, so the probability is 2/6 = 1/3.

  2. Q2Easy

    A die is rolled. Probability of getting a prime number?

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    Answer: B. 1/2

    💡 3 of the 6 faces qualify, so the probability is 3/6 = 1/2.

  3. Q3Easy

    A die is rolled. Probability of getting a number greater than 4?

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    Answer: D. 1/3

    💡 2 of the 6 faces qualify, so the probability is 2/6 = 1/3.

  4. Q4Medium

    Two dice are thrown. Probability of a sum of 4?

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    Answer: B. 1/12

    💡 3 of the 36 equally likely outcomes give a sum of 4, so the probability is 3/36 = 1/12.

  1. Q5Medium

    Two dice are thrown. Probability of a sum of at least 5?

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    Answer: B. 5/6

    💡 30 of the 36 equally likely outcomes give a sum of at least 5, so the probability is 30/36 = 5/6.

  2. Q6Medium

    Two dice are thrown. Probability of a sum of at least 6?

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    Answer: A. 13/18

    💡 26 of the 36 equally likely outcomes give a sum of at least 6, so the probability is 26/36 = 13/18.

  3. Q7Hard

    A bag has 6 red, 6 blue and 4 green balls. One is drawn. Probability it is red?

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    Answer: C. 3/8

    💡 6 of the 16 balls are red, so the probability is 6/16 = 3/8.

  4. Q8Hard

    A bag has 6 red, 5 blue and 2 green balls. One is drawn. Probability it is blue?

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    Answer: C. 5/13

    💡 5 of the 13 balls are blue, so the probability is 5/13.

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