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Probability with Digit Formation

Probability with Digit Formation

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A two-digit number is formed at random in a single event using the digits \({3, 2}\) and \(4\) with repetition of digits allowed.

  1. Write down the sample space.
  2. Find the probability that the two-digit number
    1. contains the digit \(3\),
    2. does not contain the digit \(3\),
    3. is a prime.

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Answer:(a) \(\{22,23,24,32,33,34,42,43,44\}\) (b)(i) \(\frac59\) (ii) \(\frac49\) (iii) \(\frac29\)

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