Your doctor informs you that you have been exposed to a virus that is contracted by 3 out of every 50 people exposed? Based on that information, what are the odds against you contracting the virus?
Since you want the odds against you then you need to take the odds for you (3/50) and subtract them from a 1 to 1 odd (50/50).
You will get 47/50 or 94%
Since you want the odds against you then you need to take the odds for you (3/50) and subtract them from a 1 to 1 odd (50/50).
You will get 47/50 or 94%
3:50
or
350×100
30050
6%
You have a 3 in 50 chance or 6% chance of contracting the virus.
Likewise
50:50−3:50
47:50
or
5050−350×100
4750×100
470050
94%
You have a 47in 50 chance or 94% chance of not contracting the virus.