5 dice of the standard 6 sided dice, whats the probability of getting a pair?

• 5 dice of the standard 6 sided dice, whats the probability of getting a pair?

Answer #1 | 18/12 2013 00:19
It's easiest to figure out how NOT to get a pair, then just subtract from 1.00. First dice - no chance. Second dice - 5/6 chance to NOT get a pair. Third dice 4/6 (or 2/3) chance to NOT get a pair. Fourth dice 1/2 chance. Fifth dice 1/3 chance. Probability of NOT getting a pair = 5/6 * 2/3 * 1/2 * 1/3 = 10/108 or 5/54. As a decimal number, that's approximately 0.0926. Now to figure out the chance you will get at least 1 pair, subtract that number from 1.00. 1.00 = 0.0926 = 0.9074. That's your answer. The probability is 0.9074, or 90.74%. 90.74% means that more often than 9/10 times you roll 5 six-sided dice, you will get at least 1 pair.
Positive: 93 %

Rolling Two Dice When rolling two ... (6,5) (6,6) Note that there are ... and and how likely each number is on each of the dice. Then the probability of an ...
Positive: 93 %
... 5, 6. The probability of any one of ... 4 are blue, and 1 is red. What is the probability that a blue ... Each time Alex throws the 2 dice is an ...
Positive: 88 %
See how finding probabilities for rolling three dice is ... probabilities for rolling three standard dice. ... Probability of a sum of 5: 6 ...