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Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 51 · Question 4

9709

As printed in the paper

The question as text

Rahul has two bags, X and Y. Bag X contains 4 red marbles and 2 blue marbles. Bag Y contains 3 red marbles and 4 blue marbles. Rahul also has a coin which is biased so that the probability of obtaining a head when it is thrown is 4 1. Rahul throws the coin. • If he obtains a head, he chooses at random a marble from bag X. He notes the colour and replaces the marble in bag X. He then chooses at random a second marble from bag X. • If he obtains a tail, he chooses at random a marble from bag Y. He notes the colour and discards the marble. He then chooses at random a second marble from bag Y.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 4(a)[3]

  • 4(b)[3]

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