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1. A letter is chosen at random from the word SUPERCALIFRAGILISTIC. Find the probability that the letter is: (always simplify fractions) a) an S d) a vowel b) an A e) not a vowel c) a P 2. An experiment involves choosing a card from standard deck of 52 playing cards and recording its suit. Here are the results of 100 trails. Find the experimental probability of obtaining: a) a heart Suit Frequency Express answers as decimals b) a club heart 17 club 29 c) a red card spade 38 d) a black card diamond 16 a) a King d) a black 10 or a red queen 3. A card is chosen from a standard deck of 52 playing cards. Find the theoretical probability of the card being: b) a red king e) an ace c) Queen Hearts f) not an ace 4. From a class of 50 students, 32 enjoy tennis and 20 enjoy squash. If 3 students enjoy both sports : b) n(Tennis only) a) Display this information in a venn diagram and a two way table Tennis Squash c) Pr(neither Squash or tennis) S S' T T' d) Pr(A∩B) a) n(A∩B) 5. This Venn Diagram shows the distribution of elements in two sets, A and B A 13 b) n(A) 7 e) Pr(A') 8 B 5 c) n(A'∩B') f) Pr(A U B) 6. Two events, A and B are such that Pr(A)= 0.7, Pr(B)= 0.45 and Pr(A∩B)= 0.32 Find: a) Pr(A U B) b) Pr(A'∩B') a) Pr(A) 7. Consider the Venn diagram displaying the number of elements belonging to events A and B. Find: b) Pr(A∩B) A 10 c) Pr(A|B) 5 15 d) Pr(B|A) B 0 8. from a survey of 40 students in the playground, 35 like soft drink, 20 like water and 15 like both soft drink and water. Diplay this information in a two way table. dislike water like water B B' like soft drink A dislike soft drink A' Find Pr that a student likes water but dislikes soft drink |