Two dice are rolled. Find the odds that the score on the dice is either 7 or 12.
A) 7 : 29
B) 1 : 5
C) 1 : 1
D) 19 : 17
I am so lost it isn't funny. I do not know how to figure this out.
There are 6 ways to get a sum of 7 and 1 way to get a sum of 12
So there are 7 ways for your event to happen
Prob(event) = 7/36
prob(not the event) = 29/36
odds in favour of getting a sum of 7 or a sum of 12
= (7/36) : (29/36)
= 7 : 29
To find the odds of rolling a score of either 7 or 12 when two dice are rolled, we first need to determine the total number of possible outcomes and the number of favorable outcomes for each event.
First, let's determine the total number of outcomes when two dice are rolled. Since each dice has 6 sides, there are 6 possible outcomes for each dice. Therefore, the total number of outcomes when two dice are rolled is 6 x 6 = 36.
Next, let's calculate the favorable outcomes for each event - rolling a score of 7 or 12.
- To obtain a score of 7, we can have the following combinations:
- (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
So, there are 6 favorable outcomes for rolling a score of 7.
- To obtain a score of 12, we can only have the combination:
- (6, 6)
So, there is only 1 favorable outcome for rolling a score of 12.
Now that we have the number of favorable outcomes for each event, we can determine the odds.
The odds are given by the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
For rolling a score of 7, there are 6 favorable outcomes out of a total of 36 outcomes, giving us odds of 6:36, which can be simplified to 1:6.
For rolling a score of 12, there is 1 favorable outcome out of a total of 36 outcomes, giving us odds of 1:36.
Since we want to find the odds of rolling either 7 or 12, we can add the favorable outcomes for each event together. In this case, it is 6 + 1 = 7.
Therefore, the odds of rolling a score of either 7 or 12 is 7:36.
None of the given answer choices match this result, so it appears that the options provided are incorrect.