Suppose that your chances of winning a particular lottery are 1/10 .

(a) If you continue to play the lottery, and stop playing as soon as you win once, what is the probability that you will have to play exactly 8 times?

(b) If you continue to play the lottery, and stop playing as soon as you win 5 times, what is the probability that you will have to play exactly 15 times?

(c) If you continue to play the lottery, and stop playing as soon as you win once, what is the probability that you will have to play at least 25 times?

(d) If you play the above lottery once, as well as a second lottery in which your chances of winning are 1/100 , what is the probability that you will win in exactly one of the two lotteries?