Question

A single die is rolled 8 times. What is the probability that a six is rolled exactly once, if it is known that at least one six is rolled?

Answer 1

it's the probability a six is not rolled on any of the remaining 7 rolls.

Answer 2

(5/6)^7

Answer 3

did you attempt it yet?

Answer 4

well, do you recognize what kind of distribution this is, with 8 trials?

Answer 5

i tried but i wasn't sure how to do it @♛Pearlpixie

Answer 6

OK well it binomial, have you studied that one yet in class?

Answer 7

not sure what distribution it is

Answer 8

yes we did

Answer 9

right, its binomial.

Answer 10

but how do i set up the equation?

Answer 11

ok, so what are n and p here?

Answer 12

n is 8 and p is 1/6

Answer 13

n = the number of trials & P = probability of success for any given trial.

Answer 14

&yes, right! :)

Answer 15

so you find u and sigma?