Foundation November 2024 Paper 2 Q6

OCRFoundationCurrent spec5 marksBasic Probability

6 There are 16 coins in a bag.

  • Six 5p coins.
  • Two 10p coins.
  • Eight 20p coins.
(a) The diagram shows a probability scale.
Probability scale from 0 to 1 with 0.5 marked in the middle and marks at the quarters. Arrows: A at 0, B between 0 and 0.25, C at 0.25, D between 0.25 and 0.5, E at 0.5 and F at 1

One coin is taken at random from the bag.

Which arrow shows the probability that the coin:

(i) has a value of less than £1, [1]
(ii) is a 20p coin, [1]
(iii) is a 50p coin? [1]
(b) More coins are added to the 16 coins already in the bag.
One coin is taken at random from the bag.

The probability of the coin being a 5p, a 10p or a 20p coin are now all equal.

Find the minimum number of coins that must be in the bag. [2]

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