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In: Statistics and Probability

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are...

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are counting the number of ones that come up.

a) Distinguish between the outcomes and events.

b) What is the probability that both die roll ones?

c) What is the probability that exactly one die rolls a one?

d) What is the probability that neither die rolls a one?

e) What is the expected number of ones?

f) If you did this 1000 times, approximately how many times would you expect that exactly one die would roll a one?

g) What is the expected number of ones?

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