Respuesta :
We want to know the probability of getting a sum equal to 9 or a 10 rolling two dices. To find this probability, we must compute the quotient between the number of ways of getting a sum equal to 9 or 10, and the total number of possible results rolling two dices.
• We can get a sum equal to 9 with the following outcomes: (3,6), (6,3), (4,5) and (5,4). So we have 4 possible ways of getting a sum equal to 9.
• We can get a sum equal to 10 with the following outcomes: (4,6), (6,4) and (5,5). So we have 3 possible ways of getting a sum equal to 10.
,• The total number of possible ways to get a sum equal to 9 or 10 is 4+3 = 7.
• The total number of possible results is 6*6 = 36.
So the probability of getting a sum equal to 9 or 10 rolling two dices is:
[tex]P=\frac{\#\text{ways of getting a sum equal to 9 or 10 }}{\#\text{possible results rolling two dices}}=\frac{4+3}{36}=\frac{7}{36}\text{.}[/tex]Answer: 7/36
