Part 1 6.0 points possible (graded, results hidden) I throw a pair of dice and I tell you that they sum to 8 but I don't tell you what each die shows. What is the conditional probability that neither one shows 4? (Round to 3 decimal places)Part 2 6.0 points possible (graded, results hidden) The probability that it will be sunny tomorrow is .8. The probability that it will rain tomorrow is 19. The probability that it will snow tomorrow is .01. If it is sunny on a given day, the probability that I will have a cold the next day is .02. If it rains that day, the probability that I will have a cold a day later is .1. If it snows one day, I will have a cold the day after that with probability .2. What is the probability I will have a cold in two days? (round to 3 decimal places)Part 3 8.0 points possible (graded, results hidden) I flip a biased coin 12 times. The bias is such that the probability of heads on one flip is .45