OCR Further Statistics AS 2023 June — Question 2

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2023
SessionJune
TopicCombinations & Selection

2 A music lover has 30 CDs arranged in a random order in a line on a shelf. Of these CDs, 7 are classed as Baroque, 10 as Classical and 13 as Romantic.
  1. Determine the probability that all 7 Baroque CDs are next to each other.
  2. Determine the probability that, of the 10 CDs furthest to the left on the shelf, at least 6 are Baroque.