Repeated-number cards and an added value

Repeated-number cards and an added value

Secondary 2
TGM Original Questions

Nine cards show 3, 3, 3, 5, 5, 8, 10, 13 and 14.

  1. One card is selected.
    1. Which number has probability \(1/3\)?
    2. Find the probability of a prime.
    3. Find the probability that the number is smaller than at least four numbers on the other cards.
  2. A tenth card labelled \(p<14\) is added and the probability of an odd number becomes \(3/5\). Find the largest possible integer \(p\).

Solution:

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Answer:(a)(i) \(3\); (ii) \(2/3\); (iii) \(5/9\); (b) \(p=12\).

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