2 Hazeem repeatedly throws two ordinary fair 6-sided dice at the same time. On each occasion, the score is the sum of the two numbers that she obtains.
- Find the probability that it takes exactly 5 throws of the two dice for Hazeem to obtain a score of 8 or more.
- Find the probability that it takes no more than 4 throws of the two dice for Hazeem to obtain a score of 8 or more.
- For 8 randomly chosen throws of the two dice, find the probability that Hazeem obtains a score of 8 or more on fewer than 3 occasions.