OCR FS1 AS 2017 December — Question 2

Exam BoardOCR
ModuleFS1 AS (Further Statistics 1 AS)
Year2017
SessionDecember
TopicPermutations & Arrangements
TypeSpecific items together

2 Each letter of the words NEW COURSE is written on a card (including one blank card, representing the space between the words), so that there are 10 cards altogether.
  1. All 10 cards are arranged in a random order in a straight line. Find the probability that the two cards containing an E are next to each other.
  2. 4 cards are chosen at random. Find the probability that at least three consonants ( \(\mathrm { N } , \mathrm { W } , \mathrm { C } , \mathrm { R } , \mathrm { S }\) ) are on the cards chosen.