Alice and Bob are playing a game where in each round, each of them rolls a fair die indepen-dently. If both roll the same number, then the game is repeated. Otherwise the player withthe larger number wins. LetXbe the number of rounds until the game is decided.(a) (10 points) Determine the probability mass function ofX.(b) (5 points ) ComputeE[X].(c) (5 points ) Compute Pr[ Alice win].(d) (5 points) Assume that you get paid 10USD for winning in the first round, 1USD forwinning in any other round, and nothing otherwise. Compute your expected winnings.

answer: it's upside down and i can't read it

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the answer is a beach is the best place to be