4 Ramesh throws an ordinary fair 6-sided die.
- Find the probability that he obtains a 4 for the first time on his 8th throw.
- Find the probability that it takes no more than 5 throws for Ramesh to obtain a 4 .
Ramesh now repeatedly throws two ordinary fair 6-sided dice at the same time. Each time he adds the two numbers that he obtains. - For 10 randomly chosen throws of the two dice, find the probability that Ramesh obtains a total of less than 4 on at least three throws.