Professor Moore forgets to set his alarm with a probability of 0.10. If he sets the alarm, it will wake him on time to make his first class with a probability of 0.95. If he forgets to set the alarm, he wakes up in time for his first class with a probability of 0.25. what is the probability that professor Moore wakes up in time to make his first class tomorrow?

A) 0.250
B) 0.855
C) 0.880
D) 0.950