Arnold is playing a game where he is trying to roll a two with a standard die. If he gets a two in any of his first 6 rolls, he wins; otherwise he loses. What is the probability that Arnold wins the game? Round your answer to the nearest tenth of a percent.

Question

satellite73 · Answer

easier to compute the probability he loses, subtract that number from 1

satellite73 · Answer

what is the probability he rolls six times with no 2?

alexa98 · Answer

5/6

satellite73 · Answer

on one roll, yes 
how about on all six rolls?

satellite73 · Answer

hint, multiply that answer by itself six times (aka raise to the power of 6)

alexa98 · Answer

5/6 *5/6 *5/6*5/6*5/6*5/6

satellite73 · Answer

yes 
then compute $$1-\left(\frac{5}{6}\right)^6$$ for your answer

alexa98 · Answer

0.00010716735

satellite73 · Answer

no that is not what i get

alexa98 · Answer

Thank you

alexa98 · Answer

66.5

satellite73 · Answer

that is not what i got

satellite73 · Answer

oh, but i did it wrong, you did it right

satellite73 · Answer

http://www.wolframalpha.com/input/?i=1-%285%2F6%29^6