OCR Further Statistics 2019 June — Question 3

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2019
SessionJune
TopicPermutations & Arrangements
TypeSpecific items separated
3 Six red counters and four blue counters are arranged in a straight line in a random order.
Find the probability that
  1. no blue counter has fewer than two red counters between it and the nearest other blue counter,
  2. no two blue counters are next to one another.
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