Math  /  Discrete

QuestionTo choose the order of bands for the finals of a Battle of the Bands competition, Freddy puts a penny, a nickel, a dime, a quarter, and a half-dollar into five separate envelopes and has one band choose an envelope. The second band then chooses from the remaining envelopes. Draw a tree diagram to determine the sample space and find the probabilities for the selections of the two bands in the finals. Express probabilities as simplified fractions.
Part: 0/60 / 6 \square Part 1 of 6 (a) The sample space contains \square outcomes.

Studdy Solution
Calculate the total number of outcomes by multiplying the number of choices for the first band by the number of choices for the second band:
5×4=205 \times 4 = 20
Thus, the sample space contains 20 outcomes.
The sample space contains 20\boxed{20} outcomes.

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