Answer:
There is a 0.175% chance of finding such a person who has all three characteristics.
Out of 4,000 people, 7 people would likely to match all three characteristics.
Step-by-step explanation:
A crime has been committed and after analyzing the evidence, police has found out that:
- The criminal's blood type is a type found in only 10% of the population.
- The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
- Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.
We required to find out the probability of selecting a random person who would match all of these characteristics.
Since it is given that the three characteristics are independent of each other then the required probability is
P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)
P(all 3 characteristics) = (10/100)*(7/100)*(25/100)
P(all 3 characteristics) = 1750/1,000,000
P(all 3 characteristics) = 7/4000
P(all 3 characteristics) = 0.00175
P(all 3 characteristics) = 0.175%
So out of 4,000 people, 7 people would likely to match all three characteristics.
or
There is a 0.175% chance of finding such a person who has all three characteristics
