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Unformatted text preview: 1 − 6 36 = 36 − 6 36 = 30 36 or 5/6 or .8333. [There are 6 × 6 = 36 possible outcomes for rolling two dice. The opposite event is having a sum no larger than 4, which would be 1,1 or 1,2 or 1,3 or 2,1 or 2,2 or 3,1, so there are six outcomes in the opposite event. The opposite event has probability 6/36 so we get the answer above.] #33. Probability of a head at least once when you flip a coin 8 times is 1 − 1 2 8 = 1 − 1 256 = 256 − 1 256 = 255 256 or .9961. [You need to keep track of the order of the flips, so there are 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2 8 = 256 possible outcomes. The opposite event is having NO heads, which is exactly 1 outcome. This leads to the answer given.]...
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 Spring '08
 Irwin
 Probability, Outcome, Existential quantification

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