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At least 2 sixes mean 2,3,4, or 5 sixes. This is the sum of the probability of 2 sixes + probability of 3 sixes etc. It is easier to look at the probability of 0 or 1 six and subtract that the sum of those two from 1. P( one six)=1/6 P(number other than six)=5/6 P( one six in 5 tosses)=(1/6)(5/6)^4=625/7776 P (no six in 5 tosses) the probability of not getting a 6 of the first toss is 5/6 Now if we do not get one on the first toss, we have 5/6 chance of not getting it again on the second, and the third etc. (5/6)^5=3125/7776 If we add these we have 3750/7756 which is the odds of exactly 0 or 1 six. 1-(3750/77756)=2003/3878 .516503 is the probability of at least 2 sixes in 5 tosses.

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Q: If a die is tossed 5 times what is the probability of getting at least 2 sixes?
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