A sports arena has three entrances (E1, E2, E3) and four different exits (X1, X2, X3, X4). As spectators come in, they enter through a random entrance E1,E2, or E3 and then exit through a random exit (X1,X2, X3, or X4). a. Create the sample space for this experiment listing all possible entrances and exits a spectator may use. Hint, how many outcomes are there? b. What is the probability a spectator enters from E3 and exits from X4? c. What is the probability a spectator does not enter from E1?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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A sports arena has three entrances (E1, E2, E3) and four different exits (X1, X2, X3, X4). As spectators come in, they enter through a random entrance E1,E2, or E3 and then exit through a random exit (X1,X2, X3, or X4).

a. Create the sample space for this experiment listing all possible entrances and exits a spectator may use. Hint, how many outcomes are there?

b. What is the probability a spectator enters from E3 and exits from X4? c. What is the probability a spectator does not enter from E1?

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