Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about probability

Question M0-16-03

In a lucky draw, there are 24 tickets. The tickets are drawn at random, one by one, without replacement. The person who draws a ticket labeled X, Y, or Z wins a prize.

1. If 3 tickets are drawn, find the probability of winning with only the third ticket.
2. If 4 tickets are drawn, find the probability of winning with 2 of the tickets.
3. If the tickets are drawn with replacement, find the probability of winning with 2 of 4 tickets.

Please express your answers as fractions.

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