Question: 1. Suppose a is a ten digit number. A wheel turns up the digits 0 through 9 with equal probability on each spin. On ten spins what is the probability of matching, in order, k or more of the ten digits\ in a, 0 ≤ k ≤10? Assume the initial digit may be zero.
2. In a thunderstorm in a national park there are 127 lightning strikes. Experience shows that the probability of a lightning strike starting a fire is about 0.0083. What is the probability that k fires are started, k = 0; 1; 2; 3?