If you throw a 6 on a fair dice you win, otherwise your friend wins. Because it
ID: 3320800 • Letter: I
Question
If you throw a 6 on a fair dice you win, otherwise your friend wins. Because it is hard to throw a 6 your friend allows you two tries.a) What is the probability that you have to try a second time? (Hint: when do you need a second try?)
b) What is the probability that you win? (Hint: immediately or after another try)
c) How many tries would make you the winner?
If you throw a 6 on a fair dice you win, otherwise your friend wins. Because it is hard to throw a 6 your friend allows you two tries.
a) What is the probability that you have to try a second time? (Hint: when do you need a second try?)
b) What is the probability that you win? (Hint: immediately or after another try)
c) How many tries would make you the winner?
If you throw a 6 on a fair dice you win, otherwise your friend wins. Because it is hard to throw a 6 your friend allows you two tries.
a) What is the probability that you have to try a second time? (Hint: when do you need a second try?)
b) What is the probability that you win? (Hint: immediately or after another try)
c) How many tries would make you the winner?
Explanation / Answer
a)
P(second try ) = P(not winning of first try) = 5/6
b)
P(winning ) = P(winnig on first try) +P(winning on second try) = 1/6 + 5/6*1/6 = 1/6 + 5/36 = 11/36
c)
Expected number of tries = 6