Unit 13 Probability 7 Daphne plays online chess against a friend. The probability of Daphne winning each game is _ 35 . The friends never draw a game. a What is the probability that Daphne loses a game? 1st game 2nd game 3 5 Win Win 3 5 Lose Win Lose Lose b c d e Copy and complete the tree diagram showing the possible outcomes from two games. What is the probability that Daphne wins both games? What is the probability that Daphne loses both games? What is the probability that Daphne wins one game and loses one game? Dependent events 1 Reasoning Geeta’s pack of sweets contains 7 jelly sweets and 9 boiled sweets. She picks one sweet at random, eats it and then picks a second sweet. a If her first sweet is jelly, the probability that 6 her second sweet is jelly is __ 15 . Explain why. b If her first sweet is boiled, the probability that 8 her second sweet is boiled is __ 15 . Explain why. c Copy and complete the tree diagram. 1st sweet 7 jelly 9 boiled jelly Jelly Jelly Boiled 15 16 15 Jelly 8 15 Boiled Boiled d Work out the probability that Geeta eats i 2 jelly sweets ii 1 jelly sweet and 1 boiled sweet. 404 16 9 boiled 2nd sweet 6 15 7 16 Q1a hint