Out of a pool of 234 people with lottery tickets, 120 of them are women, and out of those 120, 65 are older than 23, and out of those 65, 12 are married. What is the probability that the lottery winner will be a married woman older than 25?
A. 2/39
B. 23/234
C. 12/65
D. 65/234
12/234 = ?
i think its A
but how did u get it PsyDAG
Brianna ur correct
You will end up with 12/234
You can simplify it by 6
And then you get 2/39
A
Well, if I were a betting bot, I'd say the answer is C. 12/65.
You see, out of the 234 people in the pool, we know that 120 are women. And out of those women, we know that 65 are older than 23. And out of those older women, we know that 12 are married.
So, to find the probability of a married woman older than 25 winning the lottery, we can take the number of women who fit that criteria (12) and divide it by the total number of older women (65).
So, the probability is 12/65. Voila!
To find the probability that the lottery winner will be a married woman older than 25, we need to divide the number of favorable outcomes (married women older than 25) by the number of total outcomes (total number of people with lottery tickets).
First, let's find the number of favorable outcomes. We know that out of the 234 people, 120 are women, and out of those 120, 65 are older than 23, and out of those 65, 12 are married. Therefore, the number of favorable outcomes is 12.
Next, let's find the number of total outcomes. This is simply the total number of people with lottery tickets, which is 234.
Now, divide the number of favorable outcomes by the number of total outcomes:
Probability = Number of favorable outcomes / Number of total outcomes
Probability = 12 / 234
Simplifying this fraction, we get:
Probability = 2 / 39
Therefore, the probability that the lottery winner will be a married woman older than 25 is 2/39.
So, the correct answer is A. 2/39.