Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect the Unexpected, All That Magic, Senatorial Hope, Telara, Cliff Jumper, and Mayan Ring. You are interested in the first three places (winner, second place, and third place) for the race. (a) Find the cardinality n(S) of the sample space S of all possible finishes of the race. (A finish for the race consists of a first, a second, and a third place winner.) possible finishes (b) Let E be the event that Senatorial Hope is in second or third place, and let F be the event that Telara is the winner. Express the event En Fin words. O This is the event that Telara does not win and Senatorial Hope is in second or third place. O This is the event that Telara wins and Senatorial Hope is in third place. O This is the event that Telara wins and Senatorial Hope is in second place. O This is the event that Telara wins and Senatorial Hope is in second or third place. O This is the event that Telara does not win and Senatorial Hope is not in second or third place. Find its cardinality. events
Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect the Unexpected, All That Magic, Senatorial Hope, Telara, Cliff Jumper, and Mayan Ring. You are interested in the first three places (winner, second place, and third place) for the race. (a) Find the cardinality n(S) of the sample space S of all possible finishes of the race. (A finish for the race consists of a first, a second, and a third place winner.) possible finishes (b) Let E be the event that Senatorial Hope is in second or third place, and let F be the event that Telara is the winner. Express the event En Fin words. O This is the event that Telara does not win and Senatorial Hope is in second or third place. O This is the event that Telara wins and Senatorial Hope is in third place. O This is the event that Telara wins and Senatorial Hope is in second place. O This is the event that Telara wins and Senatorial Hope is in second or third place. O This is the event that Telara does not win and Senatorial Hope is not in second or third place. Find its cardinality. events
Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect the Unexpected, All That Magic, Senatorial Hope, Telara, Cliff Jumper, and Mayan Ring. You are interested in the first three places (winner, second place, and third place) for the race. (a) Find the cardinality n(S) of the sample space S of all possible finishes of the race. (A finish for the race consists of a first, a second, and a third place winner.) possible finishes (b) Let E be the event that Senatorial Hope is in second or third place, and let F be the event that Telara is the winner. Express the event En Fin words. O This is the event that Telara does not win and Senatorial Hope is in second or third place. O This is the event that Telara wins and Senatorial Hope is in third place. O This is the event that Telara wins and Senatorial Hope is in second place. O This is the event that Telara wins and Senatorial Hope is in second or third place. O This is the event that Telara does not win and Senatorial Hope is not in second or third place. Find its cardinality. events
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Transcribed Image Text:Use counting arguments from the preceding chapter.
The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect the Unexpected, All That Magic, Senatorial Hope, Telara, Cliff Jumper, and Mayan Ring. You are interested in the first three places (winner, second place, and third place) for the race.
(a) Find the cardinality n(S) of the sample space S of all possible finishes of the race. (A finish for the race consists of a first, a second, and a third place winner.)
possible finishes
(b) Let E be the event that Senatorial Hope is in second or third place, and let F be the event that Telara is the winner. Express the event En Fin words.
O This is the event that Telara does not win and Senatorial Hope is in second or third place.
O This is the event that Telara wins and Senatorial Hope is in third place.
O This is the event that Telara wins and Senatorial Hope is in second place.
O This is the event that Telara wins and Senatorial Hope is in second or third place.
O This is the event that Telara does not win and Senatorial Hope is not in second or third place.
Find its cardinality.
events
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
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