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Year 11 (2026) Maths Advanced (2026) Probability

Sampling Without Replacement

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Question 1
124459

A bag contains 9 blue lollies and 7 green lollies.

Georgia takes out a lolly from the bag without looking and eats it. She then takes out another lolly without looking and eats it.

i) What is the probability of Georgia choosing a blue lolly in her first selection?

ii) By drawing a tree diagram, or otherwise, find the probability that Georgia eats two lollies of different colours.

i) \(\dfrac{9}{16}\)

ii) \(\dfrac{21}{40}\)

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