Exercises 69–72 use counting arguments from the preceding chapter. Horse Races The seven contenders in the fifth horse race at Aqueduct on February 18, 2002, were Pipe Bomb, Expect a Ship, All That Magic, Electoral College, Celera, Cliff Glider, and Inca Halo. 8 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.) b. Let E be the event that Electoral College is in second or third place, and let F be the event that Celera is the winner. Express the event E ∩ F in words, and find its cardinality.
Exercises 69–72 use counting arguments from the preceding chapter. Horse Races The seven contenders in the fifth horse race at Aqueduct on February 18, 2002, were Pipe Bomb, Expect a Ship, All That Magic, Electoral College, Celera, Cliff Glider, and Inca Halo. 8 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.) b. Let E be the event that Electoral College is in second or third place, and let F be the event that Celera is the winner. Express the event E ∩ F in words, and find its cardinality.
Solution Summary: The author calculates the cardinality of the sample space S for all the possible finishes of a race.
Exercises 69–72 use counting arguments from the preceding chapter.
Horse Races The seven contenders in the fifth horse race at Aqueduct on February 18, 2002, were Pipe Bomb, Expect a Ship, All That Magic, Electoral College, Celera, Cliff Glider, and Inca Halo.8 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.)
b. Let E be the event that Electoral College is in second or third place, and let F be the event that Celera is the winner. Express the event
E
∩
F
in words, and find its cardinality.
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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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY