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In this exercise, you'll use the formula for the probability of the complement of an event. Another game you've set up at casino night involves

In this exercise, you'll use the formula for the probability of the complement of an event.

Another game you've set up at casino night involves rolling a fair six-sided die followed by tossing a fair coin. In this game, players earn points depending on the number they get on the die and which side of the coin turns up. For example, the player earns 5 points for getting (2, tails).

  1. What is the probability that the result is not (6, heads)?
  2. What is the probability that tails and an even number do not occur together?
  3. What is the probability that the outcome is neither (2, heads) nor (3, tails)?
  4. What is the probability that the outcome is either tails with any number, or heads with a number greater than 1?

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