(c) Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are defective, Box 2 has 1 defective and 3 functional bulbs and Box 3 contains 3 defective and 4 functional bulbs. A box is selected at random and a bulb drawn from it at random is found to be defective. Find the probability that the box selected was Box 2.
(a) Mr Okyere takes banana and apple to the office to share with his office
mate. The
that he will eat the apple. The probability that he will eat both fruits is 0.6. Find
the conditional probability that he will eat the apple given that he does not eat the
banana.
(b) The Ministry of Agriculture in its fight against the army worm infection of maize
farms in the country has approved three brands of chemicals A, B and C to be used
by farmers as follows: Farmers are to combine exactly two of the chemicals to spray
their farms or they should use none of them. The proportions of farmers who opted
for chemicals A, B and C are respectively given by 1/5 , 1/3
and 7/15 . A farmer is randomly
selected from the group of farmers. What is the probability that the farmer chose
none of the chemicals?
(c) Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs
of which 2 are defective, Box 2 has 1 defective and 3
contains 3 defective and 4 functional bulbs. A box is selected at random and a bulb
drawn from it at random is found to be defective. Find the probability that the box
selected was Box 2.
Step by step
Solved in 2 steps with 4 images
