Question: 1. Let S = {1, 2, 3, 4} be a sample space, E = {1}, and F = {2, 3}. Are the events E (

1. Let S = {1, 2, 3, 4} be a sample space, E = {1}, and F = {2, 3}. Are the events E´ ( F' and E' ( F' mutually exclusive?
2. Let S be any sample space, and E, F any events associated with S. Are the events E' ( F' and E' ( F' mutually exclusive? (Apply De Morgan's laws.)
3. Suppose that 10 coins are tossed and the number of heads observed.
(a) Describe the sample space for this experiment.
(b) Describe the event "more heads than tails" in terms of the sample space.
4. An experiment consists of forming a three-digit number by using the digits 1, 7, and 8 without repetition.
(a) Describe the sample space for this experiment.
(b) Describe the event "the number is greater than 300" as a subset of the sample space?

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