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2 Statistics

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Question 28

A box contains n n\,n red counters and 6 blue counters, where n n\,n is a positive integer. Two counters are taken from the box at random, without replacement.

The probability that both counters taken are blue is 18\displaystyle \frac{1}{8}81​.

a.

Show that n2+11n−210=0n^2 + 11n - 210 = 0n2+11n−210=0.

[3]
b.

Hence find the value of nnn.

[2]
c.

Find the probability that the two counters taken are different colours.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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