Question

Suppose that a person plays a game in which he draws a ball from a box of 6 balls numbered 1 through 6. He then puts he ball back and continues to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X and Y denote the number drawn in the first and last try. respectively.

a) Find the probability distribution of X (The first draw)

b) Find the probability distribution of Y (The final draw)

c) Find the probability of terminating the game at the third draw.

Answer 1

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imikarly TY-3 3(수+옥+ 우) 구(두+부. ) 2 ?(T+족+독+ Thenefore 4 5 4 J1,2,, G termnating the game at 3vd draw Ptermiu ating at 3rd dvaX- iPExi] CS eminating at 3rd drao| X -i] P[x= N jE25cahnēr

teminating at 3rd Araw x P erm 122 능지능 L4 NT X 35 35 21 CS Scanned with CamScanner