Peter and Mary take turns throwing one dart at the dartboard. Peter hits the bullseye with probability p and Mary hits the bullseye with prob- ability r. Whoever hits the bullseye first wins. Suppose Peter throws the first dart.

(a) What is the probability that Mary wins?
b) Let X be the number of times Mary throws a dart in the game. Find the possible values and the probability mass function of X. Check that the function you give sums to 1. Is this a familiar named distribution?
c) Find the conditional probability P(X = kl Mary wins), for all possible values k of X. Is this a familiar named distribution?

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

c

step-by-step explanation:

0lz try yourself sorry for not answering