There are 10 rolls of film in a box and 2 are defective. Two rolls are to be sel

Question

There are 10 rolls of film in a box and 2 are defective. Two rolls are to be selected without replacement. Calculate the conditional probabilities below. Show the tree diagram you used to determine your answers.

What is the probability that all of both rolls of film you choose will be defective?

What is the probability that all both rolls of film you choose will not be defective?

What is the probability that the first roll of film is defective and the second roll is not?

What is the probability that the first roll of film is not defective and the second roll is defective?

Explanation / Answer

a) (2/10)*(1/9)=1/45 , probability that first and second both are defective

b) (8/10)*(7/9)=28/45, probability that both are not defective

c) (2/10)*(8/9)=8/45, probability that first is defective and second is not

d) (8/10)*(2/9)=8/45, probability that first is not defective and second is defective

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