Prob(Rolling 2 when rolling 1200 times) = 1 - Prob(not rolling 2 when rolling 1200 times)
= 1 - (5/6)1200 = 1 [accurate to 95 decimal places]
That is, it is virtually a certainty.
When rolling a regular 6-faced die, the probability of rolling a 5 on any single roll is ( \frac{1}{6} ). If you roll the die 1200 times, you would expect to get a 5 approximately ( 1200 \times \frac{1}{6} = 200 ) times. Therefore, you would expect to roll a 5 about 200 times.
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.
It is 0.375 = 3/8
The probability of rolling a 4 on a six-sided die is 1/6. When rolling the die twice, the events are independent, so the probabilities multiply. Therefore, the probability of rolling a 4 both times is (1/6) * (1/6) = 1/36. Thus, the probability of rolling a 4 on both rolls is 1/36.
The probability of rolling a 6 is 1/6. The probability of rolling 10 times a 6 is (1/6)10 or 1.654X10-8.
When rolling a regular 6-faced die, the probability of rolling a 5 on any single roll is ( \frac{1}{6} ). If you roll the die 1200 times, you would expect to get a 5 approximately ( 1200 \times \frac{1}{6} = 200 ) times. Therefore, you would expect to roll a 5 about 200 times.
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.
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.
It is 0.375 = 3/8
The probability of rolling a 4 on a six-sided die is 1/6. When rolling the die twice, the events are independent, so the probabilities multiply. Therefore, the probability of rolling a 4 both times is (1/6) * (1/6) = 1/36. Thus, the probability of rolling a 4 on both rolls is 1/36.
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.
The probability is 1/6 x 5=5/12
The probability of not rolling a 6 is 5/6.
The probability of rolling a six on a die 6 times in a row is 1 in 46,656, or 0.000021433. The calculate that, the probability of rolling one 6 is 1 in 6. Simply raise that to the sixth power to get 1 in 46,656.
The probability of rolling a 6 is 1/6. The probability of rolling 10 times a 6 is (1/6)10 or 1.654X10-8.
The probability of rolling a 3 with a standard die is 1 in 6. The probability of doing that two times in a row is 1 in 6 squared, or 1 in 36.
25/36