Question

The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probability of getting both disease X and disease Y is 0.494. Are events A and B dependent or independent?

Answer 1

I would say independent since the problem doesn't state any relation between disease X and disease Y. Also I beleive if it were dependent the probability of getting both wouldn't be .494 (which is .65 *.76). It would have to be probability of event A and event B, and then divided by probability of just B

Answer 2

The events A and B are independent

Explanation:

The occurrence of disease X is not impacting the chances of occurrence of disease Y. Thus, these two events have no relation with each other.

The probability of getting both the disease X and disease Y when they both are considered as two independent events

`= (0.65) ( 0.76)\\= 0.494`

Thus , it can be said that the events A and B are independent