Activity 6 Conditional Probability of an Event Solve the following and type only your answer in the lowest terms. Example: 1/2 (no spacing) 1. A pair of dice is rolled, and the sum of the dice is recorded, determine the probability that: a. the sum is greater than 9 given the second dice is a 6. b. the sum is odd given the first dice is a 3 c. a double is not rolled given the sum is greater than 10 2. One card is selected from a deck of cards find the probability that: a. the card is a queen given that it is a face card. b. the card is not a seven given it is between 3 and 8 inclusive. c. the card is not red given it is a queen. 3. At a zoo, a sampling of children was asked if the zoo were to get one additional animal, would they prefer a tiger or a giraffe. The results of the survey follow: Respondents Tiger Giraffe Total Boys 90 110 200 Girls 75 85 160 Total 165 195 360 If one child who was in the survey is selected at random, find the probability that: a. the child selected the tiger, given the child is a girl. b. the child is a boy, given the child preferred the giraffe. c. the child selected is a girl, given that the child preferred the tiger