1. Suppose five cards are dealt from a standard 52-card deck. The suit of each card is recorded, in order. For example, one outcome is heart, spade, heart, club, diamond. Let event E be "there are at least three spades". Let event F be "there is exactly one diamond". Describe E È F in words (in terms of cards), and give one outcome in E È F.
2. Suppose five cards are dealt from a standard 52-card deck. The suit of each card is recorded, in order. For example, one outcome is heart, spade, heart, club, diamond. Let event E be "there are at least three spades". Let event F be "there is exactly one diamond". Describe E¢ Ç F in words (in terms of cards), and give one outcome in E¢ Ç F.
3. A state is selected at random from the 50 U.S. states. What is the probability that it is one of the eight states beginning with the letter M? Give your answer as a fraction in lowest terms.
4. In a certain city, the probability that a randomly selected person is employed is 0.8; the probability that a randomly selected person is registered to vote is 0.6; the probability that a randomly selected person is both employed and registered to vote is 0.5. What is the probability that a randomly selected person is either employed or registered to vote (or both)? Give your answer in decimal form (not as a fraction).
5. Give your answer in the form a to b, where a and b are integers.Recent statistics show that about 3 in 100 births (in the U.S.) gives twins. What are the odds in favor of a birth giving twins?