Answer:
0.86
Step-by-step explanation:
To find this, we need to know the number of ways the jury can be picked overall, and then the number of ways 8 men and 4 women can be on the jury. The fraction of the two will be the probability.
The total number of ways the jury can be picked is the combination of a pool of 35 people and choosing 12 is; C(30,12) = 30!/((12!)(30 - 12)!)
= 86,493,225
We have gotten the number of ways the jury can be picked.
Now let's find how many ways can the jury consist of 8 men and 4 women.
For the men, there are 17 in the pool and we're picking 8:
Thus, C(17,8) = 17!/((8!)(17 - 8)!) = 24,310
For the men, there are 18 in the pool and we're picking 4:
Thus, C(18,4) = 18!/((4!)(18 - 4)!) = 3,060
Thus, number of men and women choices = 24,310 x 3060 = 74388600
So; probability = 74388600/86,493, 225 = 0.86
