Sticker machine without replacement

Sticker machine without replacement

Secondary 2
3 marks
TGM Original Questions

Core stretch

The machine selects each remaining sticker with equal probability.

A machine contains \(4x\) train stickers and \(3x\) ship stickers.

  1. Find the probability that the first sticker is a ship.[2]
  2. The first sticker dispensed is a ship. The probability that the second is a train is \(\frac{8}{13}\). Find the initial number of train stickers.[1]

Solution:

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Answer:(a) \(\frac{3}{7}\) (b) \(8\) train stickers.

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