CAIE S1 2012 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicData representation
TypeState advantages of diagram types

6 A box of biscuits contains 30 biscuits, some of which are wrapped in gold foil and some of which are unwrapped. Some of the biscuits are chocolate-covered. 12 biscuits are wrapped in gold foil, and of these biscuits, 7 are chocolate-covered. There are 17 chocolate-covered biscuits in total.
  1. Copy and complete the table below to show the number of biscuits in each category.
    Wrapped in gold foilUnwrappedTotal
    Chocolate-covered
    Not chocolate-covered
    Total30
    A biscuit is selected at random from the box.
  2. Find the probability that the biscuit is wrapped in gold foil. The biscuit is returned to the box. An unwrapped biscuit is then selected at random from the box.
  3. Find the probability that the biscuit is chocolate-covered. The biscuit is returned to the box. A biscuit is then selected at random from the box.
  4. Find the probability that the biscuit is unwrapped, given that it is chocolate-covered. The biscuit is returned to the box. Nasir then takes 4 biscuits without replacement from the box.
  5. Find the probability that he takes exactly 2 wrapped biscuits.