the probability of cindy waking up after 8 am is p. Assume the events of cindy waking up after 8am and by 8am are mutually exclusive and complementary.

Question

 if p= .3 find the probability that she will wake up after 8am on two consecutive days.

Answer 1

If p is the probability that Cindy will wake up by 8 am, then 1-p is the probability that she will wake up after 8 am.  The probability that she will wake up after 8 am on two consecutive days is (1-p)·(1-p).  Plug in p = 0.3 to get the answer.