3 ULTRA KILIMA 51 For questions 5-11, please consider the following information. You have a pair of dice- the six sided white cubes with dots on each side that represent the numbers 1-6 respectively. However, each die (which is the singular of dice) is unique. One die is a standard die, so that there is equal probability that you roll any of the six possible numbers. The other is weighted so that the result of tossing the die is a 6 on 40% of your rolls. The remaining five possible outcomes split the remaining probability equally. You keep these dice in a velvet pouch, and occasionally draw one out and roll it. You have no way of identifying which die is which (loaded vs. standard) by feel, so when you draw one you are unsure which it is. 5. Assume you draw the loaded die and roll it. What is the probability you roll a 5