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Grade 7 maths · X.14 · Probability

Probability of two draws without replacement

The first marble is not put back, so the second draw has fewer marbles. Multiply the two probabilities.

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  1. A bag has 6 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.

    Answer: 5/12

  2. A bag has 8 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.

    Answer: 28/55

  3. A bag has 7 red and 5 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.

    Answer: 7/22

Tip: The first marble is not put back, so the second draw has fewer marbles. Multiply the two probabilities.

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