OCR MEI S1 — Question 2

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
TopicBinomial Distribution
TypeSingle batch expected count

2 A normal pack of 52 playing cards contains 4 aces. A card is drawn at random from the pack. It is then replaced and the pack is shuffled, after which another card is drawn at random.
  1. Find the probability that neither card is an ace.
  2. This process is repeated 10 times. Find the expected number of times for which neither card is an ace.