Probability Forming a Two-Digit Number

Probability Forming a Two-Digit Number

Secondary 2

Each of the numbers \({1, 2, 3}\) and \(5\) is written on a card. Two cards are drawn uniformly at random in succession without replacement; the first gives the tens digit and the second the units digit. Find the probability that the two-digit number is

  1. divisible by \(4\),
  2. a prime number,
  3. not divisible by \(5\).

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Answer:(i) \(\frac14\) (ii) \(\frac13\) (iii) \(\frac34\)

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