OCR MEI Further Statistics A AS 2020 November — Question 3

Exam BoardOCR MEI
ModuleFurther Statistics A AS (Further Statistics A AS)
Year2020
SessionNovember
TopicGeometric Distribution
TypeSecond success on trial n

3 A child is trying to draw court cards from an ordinary pack of 52 cards (court cards are Kings, Queens and Jacks; there are 12 in a pack). She draws cards, one at a time, with replacement, from the pack. Find the probabilities of the following events.
  1. She draws a court card for the first time on the sixth try.
  2. She draws a court card at least once in the first six tries.
  3. She draws a court card for the second time on the sixth try.
  4. She draws at least two court cards in the first six tries.