Part A: Imagine there are two groups. A member of each group gets randomly chose

Question

Part A: Imagine there are two groups. A member of each group gets randomly chosen for the winners circle, then one of those gets randomly chosen to get the big money prize. Suppose you are in the group that has 5 people, what is your chance of winnning the big prize?

Part B: Memory cards for a water quality monitoring device each have a reliability of 0.99. You are taking a trip to a remote area and bring along spares so that you have at least a 99.99 percent chance of having a good memory card. How many (total) cards should you bring?

Explanation / Answer

a)probability of winnning the big prize=P(of getting seected)*P(winning|given selected) =(1/5)*(1/2)=0.1

b)

let number of cards =n

hence relaibility=1-P(none of cards work)

0.9999=1-(1-0.99)n

0.0001=0.01n

taking log on both sides and solving

n=2

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