Please explain each step Topic conditional probability Ann h

Please explain each step.

Topic: conditional probability

Ann has five USB flash drives in a desk drawer. Three of them are 4GB drives and two are 8GB drives. If Ann randomly selects two USB flash drives from her five drives to take to work, what is the probability that she will take exactly one 4GB drive to work? You must use a sample space of combinations, but do not write out the different outcomes. (+4) A certain type of toy ball is either red or green and is either striped or not striped. If a ball is randomly selected, the probability that it is red (R) is .60, the probability it is striped (S) is .30, and the probability that it is red and striped is .20. Find the conditional probability that the ball is red given that it is striped. Give it as a simple fraction.

Solution

There are 5C2 = 10 ways to choose any two USBs.

Now, there are 3*2 = 6 ways to choose any one 4gb and any one 8gb.

Thus,

P(exactly one 4gb) = 6/10 = 0.6 [ANSWER]

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