calculating probabilities statistics homework help

6. A Hand of 5 cards is dealt to each player from a deck of 52 cards. Find the probability that a hand contains only hearts. Round to the nearest thousandth. Write your answer as a fraction in the form a/b (for example 1/7, 3/91). Reduce the fraction.

7. An elevator has 4 passengers and stops at 7 floors. It is equally likely that a person will get off at any one of the 7 floors. Find the probability that no 2 passengers leave at the same floor. Write your answer as a decimal.

8. A jar contains 3 red, 2 blue, and 8 green marble. If two marbles are drawn at random from the jar and the first marble is not replaced before the second is drawn, what is the probability that the second is green? Write your answer as a decimal. Round your answer to the nearest thousandths.

9. An ice cream parlor has 30 flavors but Su likes only half of them. If the scooper makes a three-scoop ice cream cone at random (using three different flavors), What is the probability Su will like at least one flavor? Write your answer as a decimal. Round your answer to the nearest thousandths.

10. Of the 16 members of President first cabinet, 4 are women. Suppose that the president randomly selects 4 advisers from the cabinet for a meeting. Find the probability that the group of four would consist of at least 1 woman. Write your answer as a decimal. Round your answer to the nearest thousandths.

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