1. The chance of heads of a random coin is picked according to the beta (1,1) distribution. For each part, you must show work or
reference a relevant section of the textbook. a) Find P(first toss is heads). b) Find P(first toss is heads, second toss is tails). c) Compare your answer in part b to the chance of {first toss is heads, second toss is tails} given that you are tossing a fair coin twice. Is it larger or smaller
No, the probability of getting a 5 is 1/6, but you could roll any number of fives in a row. It is just as likely to get rolled the second time as it was the first.