Problem 3 in your textbook presents three different sample spaces for a horse race with five horses running. let the horses be designated by the letters a, b, c, d, and e. a more complete characterization of an outcome of the horse race would be to designate which horse finishes in first through fifth places

(a) consider the sample space for the set of outcomes characterized in this way. how many such outcomes are in the sample space?
b) how many outcomes are in the event that horse a finishes first?
(c) if g is the event that horse a finishes first and h is the event that horse b does not finish second, describe in words the event gnh. how many outcomes are in this event?

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.