Two-digit numbers from four cards

Two-digit numbers from four cards

Secondary 2
7 marks
TGM Original Questions

Optional extension

Cards show the digits 1, 3, 4 and 9. One card is chosen at random for the tens digit, then one of the remaining cards is chosen at random for the units digit.

  1. List the sample space.[1]
  2. Find the probability that the number is
    1. odd,[1]
    2. a perfect square,[1]
    3. prime,[1]
    4. divisible by 3,[1]
    5. at least 49.[2]

Solution:

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Answer:(a) 13, 14, 19, 31, 34, 39, 41, 43, 49, 91, 93, 94 (b)(i) \(\frac{3}{4}\) (ii) \(\frac{1}{12}\) (iii) \(\frac{5}{12}\) (iv) \(\frac{1}{6}\) (v) \(\frac{1}{3}\).

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