In playing Monopoly, rolling doubles three times in a row sends you to jail. If you roll the dice 100 times over the course of a game, what is the probability that you will have rolled doubles, at any point, exactly three times?

a.

0.167

b.

0.5

c.

0.00463

d.

0.0000156
@amistre64

Question

In playing Monopoly, rolling doubles three times in a row sends you to jail. If you roll the dice 100 times over the course of a game, what is the probability that you will have rolled doubles, at any point, exactly three times?






a. 


0.167 




b. 


0.5 




c. 


0.00463 




d. 


0.0000156 
@amistre64

anonymous · Answer

@Hero

hero · Answer

I think I have an answer, but let me verify it..

amistre64 · Answer

ibelieve there are 6/36 ways to roll doubles

hero · Answer

That much is already known...but that alone can't be the probability..

amistre64 · Answer

100 choose 3,  times 3favors, times 100-3 unfavors

hero · Answer

I think someone took your first response and ran with it

anonymous · Answer

LOl , nu uh

amistre64 · Answer

:)

anonymous · Answer

(: Thanks anyways

amistre64 · Answer

$$\binom{100}{3}~(\frac16)^3~(\frac56)^{97}$$