2.

In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative.If the probability that an individual sample tests positive is 0.1, what is the probability that the mixture will test positive?

Solve and provide explanation.

3.

a) For a catered event, how many unique ways can 3 ice cream flavors be selected from 12 available?

b) For a first prize of $1000, 2ndprize of $100, and 3rdprize of $50, how many different ways can 3 people be selectedfrom 12 people for the three prizes?

c) Explain why the answers to part a and b are different.