Question 1 You have two sixsided dice: 0 One die is fair with the numbers 1 through to 6 occurring with equal probability. 0 The other die is loaded and always rolls a 5 or a 6 with equal probability. You pull one die out of your pocket and roll it. You did not check which die it was before you rolled (assume you could have pulled either die out of your pocket with equal probability). 1a) The die shows a six. What is the probability that it is the loaded die? [1 mark] Event Probability Pulling fair die out of your pocket p(fai'r) 2% Pulling loaded die out of your pocket p(loaded) 2% Fair die rolling a 6 p(6|fair) 2% Loaded die rolling a 6 1 p(6|loaded) = E Rollinga 6 30(6) 2 p(fair) - p(6|fair) + p(loaded) - p(6|loaded) =