7 A die is biased so that the probability of throwing a 5 is 0.75 and the probabilities of throwing a 1,2 , 3 , 4 or 6 are all equal.
- The die is thrown three times. Find the probability that the result is a 1 followed by a 5 followed by any even number.
- Find the probability that, out of 10 throws of this die, at least 8 throws result in a 5 .
- The die is thrown 90 times. Using an appropriate approximation, find the probability that a 5 is thrown more than 60 times.