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What is the probability of observing exactly one 3 when rolling a fair die five times?
Wiki User
∙ 11y ago
Same as for rolling 5 dice at the same time, namely 5 x 1/6 x (5/6)4 This is the second last term in the expansion of (a + b)5 where a is the probability of a die falling at 3 (ie 1/6) and b is the probability of it not falling at 3 (ie 5/6) and the various terms of the expansion correspond to the various combinations : a5 + 5a4b + 10a3b2 + 10a2b3 + 5ab4 + b5. Which of course adds up to 1 when you allow all possibilities, not just one 3.
Wiki User
∙ 11y ago
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A fair dice has 4 faces numbered 1 to 4 What is the probability of rolling a 2 exactly 3 times in 10 rolls of the die?
The probability is 0.2503
When rolling one die 12 times what is the probability of rolling a 2?
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.
A die is rolled 5 times what is the probability of rolling exactly one 4?
Possible outcomes of rolling a die 5 times = 6^5 Number of outcomes including rolling exactly one 4: 5^5 (5*5^4) 5^5/6^5 = 3125/7776 ~= 0.4019
What is the probability of rolling a 5 three times on a die?
The probability is 1/6 x 5=5/12
What are the chances of rolling a six on a die six times in a row?
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.
What is the probability of rolling exactly 2 twos when rolling a die 4 times?
It is 0.375 = 3/8
A fair dice has 4 faces numbered 1 to 4 What is the probability of rolling a 2 exactly 3 times in 10 rolls of the die?
The probability is 0.2503
The probability of rolling 5 40 times is 12 What is the probability of rolling 5 500 times?
Probability is a number between 0 and 1. The probability of an event cannot be 12.
When rolling a fair die 50 times what is the probability of rolling a 3 18 times?
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 is18 ~ Bin(50, 1/6), which equals(50!/(18!(50-18)!))(0.1667^18)(1-0.1667)^(50-18), which is about 0.00052.
When rolling one die 12 times what is the probability of rolling a 2?
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.
A fair die is rolled 180 times what is the probability of rolling a six?
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.
A die is rolled 5 times what is the probability of rolling exactly one 4?
Possible outcomes of rolling a die 5 times = 6^5 Number of outcomes including rolling exactly one 4: 5^5 (5*5^4) 5^5/6^5 = 3125/7776 ~= 0.4019
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 probability of rolling doubles with 2 dice 100 times?
The probability of rolling doubles with 2 dice is 1 in 6, or about 0.1667. The probability of doing that 100 times in a row is 0.1667100 or about 1.531x10-78.
What is the probability of rolling an odd number three times?
The probability of rolling an odd number is 3/6 (or rather, 1/2), so the probability of rolling an odd number three times in a row is 1/2^3 is 1/8 or 12.5%.
What is the probability of rolling a sum of 7 and 11?
The answer depends on how many dice you are rolling and how many times.
A die is rolled 10 times what the probbility all are 6?
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.
