Nikki is rolling two dice what is the probability that she rolls a sum of four with the two dice then rolls a sum of seven with the other with the two dice show all of your
To find the probability of rolling a sum of four and then a sum of seven, we need to calculate the probability of rolling a sum of four on the first pair of dice and then the probability of rolling a sum of seven on the second pair of dice.
For a sum of four, there are three possible combinations: (1,3), (2,2), (3,1).
The probability of rolling a sum of four on the first pair of dice is 3/36 or 1/12.
For a sum of seven, there are six possible combinations: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
The probability of rolling a sum of seven on the second pair of dice is 6/36 or 1/6.
To find the overall probability of rolling a sum of four and then a sum of seven, we multiply the probabilities of each event:
(1/12) * (1/6) = 1/72
Therefore, the probability that Nikki rolls a sum of four with the first pair of dice and a sum of seven with the second pair of dice is 1/72.