PLZZ HELPPP!!!To get out of jail free in the board game MONOPOLY, you have to roll doubles with a pair of standard dice. If you fail in three attempts, you have to pay a fine to get out of jail. Determine the probability of getting out of jail without paying a fine.
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jimthompson5910 (jim_thompson5910):
look at a dice chart like this
http://www.bkgm.com/articles/GOL/gif/hank2x.gif
how many cases do doubles show up?
A "double" is where you roll the same number at the same time (eg: rolling two '6's)
OpenStudy (angel123):
6/36
jimthompson5910 (jim_thompson5910):
which reduces to 1/6. Agreed?
OpenStudy (angel123):
Yes
jimthompson5910 (jim_thompson5910):
The probability of rolling doubles is 1/6
What is the probability of not rolling doubles?
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OpenStudy (angel123):
30/36 - 5/6
jimthompson5910 (jim_thompson5910):
1 - (1/6) = 6/6 - 1/6 = 5/6
I think that's what you mean to say?
OpenStudy (angel123):
yea
jimthompson5910 (jim_thompson5910):
the probability of not rolling doubles is 5/6
multiply that with itself 3 times to get (5/6)*(5/6)*(5/6) = ???
OpenStudy (angel123):
125/216
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jimthompson5910 (jim_thompson5910):
that is the probability of rolling 3 non-doubles
it is the probability of having to pay the fine
jimthompson5910 (jim_thompson5910):
subtract 125/216 from 1 to get the final answer
jimthompson5910 (jim_thompson5910):
1 - (125/216) = ???
OpenStudy (angel123):
OMG i got it thanks alot so it would be 91/216
OpenStudy (angel123):
right?
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jimthompson5910 (jim_thompson5910):
91/216 is correct
OpenStudy (angel123):
okay thanks alott!!
jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (vuriffy):
@jim_thompson5910 I should of got on here for help with probability last year, you would of helped so much. Haha.