2025 IGCSE 0580 May/June P23 Q11

2025 IGCSE 0580 May/June P23 Q11

4 marks

Angela picks a number at random from the numbers \(1\), \(2\) and \(3\).

She then picks a number at random from the numbers \(4\), \(5\) and \(6\).

She adds the two numbers to find the total.

  1. Complete the table to show the possible outcomes.[2]

    Second number

    First number

    \(+\)\(1\)\(2\)\(3\)
    \(4\)\(5\)\(6\)\(7\)
    \(5\)
    \(6\)
  2. Given that the total is odd, find the probability that one of the numbers Angela picks is \(3\).[2]

Solution:

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Answer:(a) Rows for second numbers \(5\) and \(6\): \(6,7,8\) and \(7,8,9\), respectively. (b) \(\dfrac25\).

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