Two fair dice are rolled. What is the probability of rolling a 2, 4 times in a row?

Question

anonymous · Answer

@jim_thompson5910 @radar @Nurali @.Sam. @e.mccormick

anonymous · Answer

@dumbcow

dumbcow · Answer

snake eyes ... 4X in row
highly improbable :)

anonymous · Answer

When they say 4 times in a row, I believe what they're asking is what is the probability of rollings two 2s 4 times in a row? Or would it be what is the probabiliy of rolling two 2s twice since that is also 4.

dumbcow · Answer

no they mean you roll dice 4 consecutive times and each time you get a "2"

anonymous · Answer

So you roll the 2 fair dice, and what is the probability of getting 2s 4 times in a row? I still am not sure of what that means.

dumbcow · Answer

independent events let you multiply probabilities, so all you need is probability of rolling a "2" ... then take that to 4th power

anonymous · Answer

that's just (1/6)^4. So basically what they're saying is you're rolling a 2, then a 2, then a 2, and again a 2?

dumbcow · Answer

yes however we dealing with two dice not one
(1/6)^4 is correct is you just are rolling 1 die since there are only 6 outcomes

dumbcow · Answer

how many outcomes result from rolling two dice?

kainui · Answer

Wait, is this question asking the chances of rolling two 1s or just getting at least one of the dice show 2?

anonymous · Answer

OH ok so (1/36)^4 @dumbcow

anonymous · Answer

?

dumbcow · Answer

correct :)

dumbcow · Answer

@Kainui , its rolling two "1's"

anonymous · Answer

@dumbcow But 1/36 is the probability of each of the outcomes from the 36 possible outcomes we can get from the 2 dice. But I don't see why we have to take it to the power of 4. 

Oh wait, @dumbcow is '2' referring to the sum instead of actually rolling the '2'?

dumbcow · Answer

2 is sum

we take it to power of 4 because each roll there is 1/36 chance of getting 2...roll 4 times

anonymous · Answer

OMGGGGGGGGGGGG lol ok now that's easy. I kept thinking we are rolling a 2 and what didn't make sense to me is how can you roll a 2 when you get 2 dice. Now that I know it's sum, it's simple lol. Well ty @dumbcow for clearing that up....I misunderstood what the question was asking.

dumbcow · Answer

oh haha ...your welcome