Answer Happy

A bag contains a large number of balls and a large number of cubes and these shapes are either red or green in colour. The probability of selecting a ball is 0.61. The probability of selecting a red shape is 0.48 If a shape is chosen at random; a) What is the probability that it is a cube? b) What is the probability that it is green? Assuming that the bag contains 200 items in total, complete the table below showing how many items of each shape and colour there are (this will help you answer questions c, d and e) Colour Red Green 58 64 Type 32 c) Use the addition rule of probability and the values in the table to show that the probability of selecting an item that is either a cube or green is 0.68 (or 68%) d) Use the multiplication rule to demonstrate that the probability of selecting an item that is both green and a ball is 0.29 e) A red shape has been selected. Use Baye's rule to show that the probability that the shape is a ball is 0.66