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40 votes
40 votes
B) If you were to roll the dice 100 times, how often would you expect to get doubles?

User Simshaun
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1 Answer

12 votes
12 votes

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)

-- The probability of rolling one of those is

(7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

User Robbmj
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