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Year 11 (2025) Maths Advanced Probability and Statistics

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.

Part a:
A.
\(\dfrac{7}{16}\)
B.
\(\dfrac{3}{5}\)
C.
\(\dfrac{1}{2}\)
D.
\(\dfrac{9}{16}\)
Correct
Part b:
A.
\(\dfrac{21}{40}\)
Correct
B.
\(\dfrac{63}{128}\)
C.
\(\dfrac{9}{16}\)
D.
\(\dfrac{19}{40}\)

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