Two-digit numbers from four cards

Two-digit numbers from four cards

Secondary 2
TGM Original Questions

Cards show the digits 1, 3, 4 and 9. Two cards are selected without replacement and arranged as a two-digit number.

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

Solution:

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Answer:(a) as listed; (b)(i) \(3/4\); (ii) \(1/12\); (iii) \(5/12\); (iv) \(1/6\); (v) \(1/3\).

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