1) Which of the following numbers could be the probability of an event?
1.5, 1/2 ,( 3)/4 ,2/3 , 0, (-1)/4
2) A Deck of Cards: A standard deck of cards contains 52 cards, as shown in the figure below. One card is randomly selected from the deck.
(a) Compute the probability of randomly selecting a two or three from a deck of cards.
(b) Compute the probability of randomly selecting a two or three or four from a deck of cards.
(c) Compute the probability of randomly selecting a two or club from a deck of cards.
3) Life Expectancy: The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vital Statistics Report, Vol. 56, No. 9.
(a) What is the probability that two randomly selected 40-year-old females will live to be 41 years old?
(b) What is the probability that ?ve randomly selected 40-year-old females will live to be 41 years old?
(c) What is the probability that at least one of ?ve randomly selected 40-year-old females will not live to be 41 years old? Would it be unusual if at least one of ?ve randomly selected 40-year-old females did not live to be 41 years old?
4) Find the value of the factorial, 7!
5) Find the value of the permutation 7P2
6) Find the value of the combination 9C2
7) Clothing Options: A woman has ?ve blouses and three skirts. Assuming that they all match, how many different out?ts can she wear?