Question

According to a​ study, one dash fifth of all rough diamonds produced in one region are blood diamonds.​ Also, 88​% of the​ region's rough diamonds are processed in City​ X, and of these​ diamonds, one dash fourth are blood diamonds. a. Find the probability that a rough diamond produced in this region is not a blood diamond. b. Find the probability that a rough diamond is processed in City X and is a blood diamond.

Answer 1

a. The probability that a rough diamond produced in this region is not a blood diamond is 4/5. b. The probability that a rough diamond is processed in City X and is a blood diamond is 22%.

Step-by-step explanation:

a. To find the probability that a rough diamond produced in this region is not a blood diamond, we need to subtract the probability of a blood diamond from 1.

The probability of a blood diamond is one-fifth, so the probability of not a blood diamond is 1 - 1/5 = 4/5.

Therefore, the probability that a rough diamond produced in this region is not a blood diamond is 4/5.

b. To find the probability that a rough diamond is processed in City X and is a blood diamond, we need to find the product of the probability of being processed in City X (88%) and the probability of being a blood diamond given that it is processed in City X (1/4).

Therefore, the probability that a rough diamond is processed in City X and is a blood diamond is 88% * 1/4 = 22%.

Answer 2

a) 4:5 = 0,8 = 80%

b) 88% . 25% = 22%

Step-by-step explanation: