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Marbles and Bags

Age 14 to 16
Challenge Level Yellow starYellow star
Secondary curriculum
  • Problem
  • Student Solutions

Assume that removing a ball from bag A or bag B is equally likely, the probability of choosing a blue ball from bag A is 3/10 and the probability of choosing a blue ball from bag B is 4/14 so the probability of choosing a blue ball is 3/10 + 4/14 = 41/70.
Theoretically in 70 trials, 41 of the outcomes would give a blue ball and 21 of these would of been drawn from bag A . Given that the ball drawn was blue the probability that it came from bag A is 21/41.


The only correct solution to date came from Matthew (Smithdon High School)


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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