3. On a particular day 50 children are asked to make a note of what they drank that day. They are given three choices: water (P), fruit juice (@) or coffee (R). 2 children drank only water. 4 children drank only coffee. 12 children drank only fruit juice. 3 children drank all three. 4 children drank water and coffee only. 5 children drank coffee and fruit juice only. 15 children drank water and fruit juice only. a Represent the above information on a Venn diagram. b How many children drank none of the above? c A child is chosen at random. Find the probability that the child drank i fruit juice i water or fruit juice but not coffee ii no fruit juice, given that the child did drink water. d Two children are chosen at random. Find the probability that both children drank all three choices