The probabilities of rolling specific numbers with 2 dice are as follows: 2: 1/36 3: 2/36 4: 3/36 5: 4/36 6: 5/36 7: 6/36 8: 5/36 9: 4/36 10: 3/36 11: 2/36 12: 1/36 Just add up the favorable probabilities in this case.
36/60 or 3/5
36+(18+12)/6 = 36+30/6 = 36+5 = 41
3
Sample space of the event = 6 x 6 = 36. The possible order for the set of numbers whose sum would be 8 are (2,6),(3,5),(4,4),(5,3),(6,2). There are five such sets. Therefore, Required probability = 5/36.
The three numbers are 2, -3, and 6.
6 x 2 x -3 = -36 6 + 2 + (-3) = 5 The three numbers are therefore 6, 2, and -3.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The number of combinations of 52 numbers taken 6 at a time is 52 * 51 * 50 * 49 * 48 * 47 / 6 / 5 / 4 / 3 / 2 = 20,358,520. The number of combinations of 36 numbers taken 5 at a time is 36 * 35 * 34 * 33 *32 / 5 / 4 / 3 / 2 = 376,992. The odds are better with 5 out of 36 numbers, but the payout is probably less as well.
How about: 6+6+24 = 36 as an example
5/6 of 36 = 5*36/6 = 5*6 = 30
3 and 6
The probabilities of rolling specific numbers with 2 dice are as follows: 2: 1/36 3: 2/36 4: 3/36 5: 4/36 6: 5/36 7: 6/36 8: 5/36 9: 4/36 10: 3/36 11: 2/36 12: 1/36 Just add up the favorable probabilities in this case.
The first step is to create the write out the probability space. For each possible product, list the values on each die that will give that product. Each such outcome has a probability of 1/36 and so you can calculate the probability of each of the numbers on the card as follows: 1: (1,1) prob = 1/36 2: (1, 2), (2, 1) prob = 2/36 3: (1, 3), (3, 1) prob = 2/36 4: (1, 4), (2, 2), (4, 1) prob = 3/36 5: (1, 5), (5, 1) prob = 2/36 6: (1, 6), (2, 3), (3, 2), (6, 1) prob = 4/36 8: (2, 4), (4, 2) prob = 2/36 9: (3, 3) prob = 1/36 10: (2, 5), (5, 2) prob = 2/36 12: (2, 6), (3, 4), (4, 3), (6, 2) prob = 4/36 15: (3, 5), (5, 3) prob = 2/36 16: (4, 4) prob = 1/36 18: (3, 6), (6, 3) prob = 2/36 20: (4, 5), (5, 4) prob = 2/36 24: (4, 6), (6, 4) prob = 2/36 25: (5, 5) prob = 1/36 30: (5, 6), (6, 5) prob = 2/36 36: (6, 6) prob = 1/36
Because both have square roots that are whole numbers. Sqrt 36 = 6 (6*6 = 36) Sqrt 25 = 5 (5*5 = 25)
36/60 or 3/5
36+(18+12)/6 = 36+30/6 = 36+5 = 41