OCR Further Statistics AS 2020 November — Question 7

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2020
SessionNovember
TopicHypergeometric Distribution
TypeFind population parameter from probability

7 A bag contains \(2 m\) yellow and \(m\) green counters. Three counters are chosen at random, without replacement. The probability that exactly two of the three counters are yellow is \(\frac { 28 } { 55 }\). Determine the value of \(m\).