Which is the probability of rolling the following sums with two number cubes?
1 Answer
The probability of rolling 7 is
The probability of rolling 6 or 8 is
The probability of rolling 5 or 9 is
The probability of rolling 4 or 10 is
The probability of rolling 3 or 11 is
The probability of rolling 2 or 12 is
Explanation:
In rolling two cubes with six sides there are 36 possibilities.
For getting a 2 there is only one chance because there is only one way of getting a 2 (a one and a one), both dice must be a one. (same for a 12)
For getting a three (3) there are two ways. ( 1+2 and 2+1) so the probability is
For getting a four there are three ways. ( 2+2, 1+3 and 3+1) ( same for 10)
For getting a five there are four ways ( 2+3, 3+2, 4+1, 1+4) ( same for 9)
For getting a six there are five ways ( 3+3, 2+4, 4+2, 5+1, 1+5) (same for 8)
For getting a seven there are six ways ( 4+3, 3+4, 5+2, 2+5, 6+1, 1+6)
Seven has the greatest number of possibilities, and therefore the greatest probability.