Question

Two people play a game. Person 1 has a 6 sided dice and must roll 5, then 6, successively. Person 2 also has a 6 sided dice and must roll a 6, then a 6, consecutively.

i) An observer says that person 1 and 2 have the same probability of obtaining their respective sequence (1/6*1/6=1/36). The observer also says that on average, they both need to throw the same amount of times in order to get the desired outcome. The observer also says that the expected number of throws should be 36. Do you agree? Justify answer.

ii) A = # of throws of person 1 till desired outcome. Compute P(A<=36)

iii) B = # of throws of person 2 till desired outcome. Compute P(B<=36)Compute P(A<=36)

iv) Compute EA and EB

Answer 1