Each roll of the die is a Bernoulli trial with a probability of success of 1/6 or about 0.1667. The probability of rolling a 3 exactly 18 times out of 50 is
18 ~ Bin(50, 1/6), which equals
(50!/(18!(50-18)!))(0.1667^18)(1-0.1667)^(50-18), which is about 0.00052.
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%
The probability of rolling a six is 1 out of 6, or 1/6. Now, perhaps your question is: If I roll a die 180 times, what is the probability of rolling a six at least once. This is the same as rolling a die 180 times and never once rolling a six. The probability is (5/6)180 which is 5.59 x 10-15.
If the die is fair, the probability is 1/6.
It is 0.1962
If it is a fair die, the probability is 5/6.
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%
The probability of rolling a six is 1 out of 6, or 1/6. Now, perhaps your question is: If I roll a die 180 times, what is the probability of rolling a six at least once. This is the same as rolling a die 180 times and never once rolling a six. The probability is (5/6)180 which is 5.59 x 10-15.
The probability of rolling a six with a standard die five times in a row is (1 in 6)5 which equals 1 in 7776 or about 0.0001286.
If the die is fair, the probability is 1/6.
If the die is fair, the probability is 1/6.
It is 0.1962
With a single roll of a fair die, the probability is 1/3.
The probability is 0.2503
If it is a fair die, the probability is 5/6.
The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.
It is 1: if you roll the die often enough. On a single roll of a fair die, the probability is 1/6.
For two fair die, it is 5/36.