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If you roll a fair die four times what is the probability of rolling a four on only the second throw?
The probability of rolling a 4 when you throw once a fair die is: P(4) = 1/6.The probability of not rolling a 4 when you throw once a fair die is: P(NO 4) = 5/6.If you roll a fair die four times, the probability of rolling a four on only the secondthrow is:P(NO 4, 4, NO 4, NO 4) = (5/6)(1/6)(5/6)(5/6) = 0.096450617... ≈ 9.6%
A die is rolled 5 times what is the probability of rolling exactly one 2?
Possible outcomes of rolling a die 5 times = 6^5 Number of outcomes including rolling exactly one 2: 5^5 (5*5^4) 5^5/6^5 = 3125/7776 ~= 0.4019
What is the sample space of rolling a die?
The sample space of rolling a die is [1, 2, 3, 4, 5, 6].
What is the probability of not rolling sum of 6 with two fair dice?
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
What is the theorical probability of rolling a 4 after rolling a number cube 72 times?
It is (5/6)^72*(1/6) = 0.0000003317, approx.
