2025 IGCSE 0580 May/June P21 Q17

2025 IGCSE 0580 May/June P21 Q17

7 marks
  1. A bag contains \(6\) red marbles, \(3\) green marbles and \(1\) blue marble.
    Two marbles are picked at random from the bag with replacement.
    Find the probability that both marbles are green.[2]
  2. Another bag contains \(4\) red counters and \(2\) yellow counters.
    Two counters are picked at random from this bag without replacement.
    1. Complete the tree diagram.[2]
      \(\dfrac46\)
      Red
      \(\dfrac26\)
      Yellow
      \(\dfrac35\)
      Red
      ______
      Yellow
      ______
      Red
      ______
      Yellow
      First counter
      Second counter
    2. Find the probability that one of the two counters is yellow.[3]

Solution:

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Answer:(a) \(\dfrac9{100}\). (b)(i) \(\dfrac25,\dfrac45,\dfrac15\) from top to bottom. (ii) \(\dfrac8{15}\).

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