a signle die rolled 6 times. what is the probability of getting the sequence 1,2,3,4,5,6?

Question

kc_kennylau · Answer

=rolling 1 * rolling 2 * rolling 3 * rolling 4 * rolling 5 * rolling 6

mathmale · Answer

Re:  "rolling 1 * rolling 2 * rolling 3 * rolling 4 * rolling 5 * rolling 6:"  right idea, but what we're actually multiplying are probabilities:  P(1)*P(2)*....

kc_kennylau · Answer

Well you know what I mean, he knows what I mean and I know what I mean

mathmale · Answer

Kenny!!

kc_kennylau · Answer

Yes?

anonymous · Answer

so, i've just to multiplying the probabilities?? that's it!!
ooh i feel stupid, i thought the answer'll be complex

mathmale · Answer

(1/6)^6.

Does this make sense to you several participants?

kc_kennylau · Answer

You can transform the question more mathematically into:
Find the probability of getting 1 then getting 2 then getting 3 then getting 4 then getting 5 then getting 6.

kc_kennylau · Answer

Or even more professionally into:
Find the probability of getting 1 in the first roll, and getting 2 in the second roll, and getting 3 in the third roll, and getting 4 in the fourth roll, and getting 5 in the fifth roll, and getting 6 in the sixth roll.

mathmale · Answer

Great!!  and then?

kc_kennylau · Answer

Each piece of the big sentence will be $\dfrac16$, and the "and"s basically just tell you to multiply them.

anonymous · Answer

yeah it does.. thanks a lot kenny and mathmale you really helped me

kc_kennylau · Answer

I'm flattered, no problem :)