Math of probability

[Marjan]

Deer ticks can be the carriers of Lyme Disease (25%), Human Granulocytic Ehrlichiosis (HGE)
(45%) and Babesiosis (30%). Based on a recent study, 20% of ticks carry Lyme Disease, 19% carry
HGE and 32% carry Babesiosis.

Question:If a random tick was found, which disease was most likely to cause it?

 

[tkhunny]

1) There is no such thing as a "random tick". Selection can be random, not ticks.
2) Diseases don't cause ticks. Ticks might cause disease.
3) There is NO deer tick that carries NO disease, while ticks in general carry disease only 71% of the time?

This problem statement is a mass of confusion.

Simple Answer
A) Ignore the information about the deer ticks.
B) Go with the 32% in the general population.

 

[Marjan]

Yeah it's really confusing . My teacher gave us to solve this and one of the Student said to check this question again,it may need some correction but she said it was ok. It can be solved by Bey's law.

 

[tkhunny]

The question is not okay, but please demonstrate your Beyes' Theorem solution.