The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probabil

Question

ivolga24 [154]

3 years ago

14

The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probabil

ity of getting both disease X and disease Y is 0.494. Are events A and B dependent or independent?

Mathematics

2 answers:

eimsori [14] · Answer 1 · 2022-06-28T20:42:27+03:00

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

BabaBlast [244] · Answer 2 · 2022-06-28T22:33:54+03:00

Answer:

The events A and B are independent

Step-by-step 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