
Concept explainers
To choose the order of bands for the finals of the campus 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. Another band then chooses from the envelopes remaining. Draw a tree diagram to determine the
(a) The amount of the first coin is less than the amount of the second coin.
(b) Neither coin is a quarter.
(c) One coin is a penny and the other coin is a nickel or a dime.
(d) The sum of the amounts of both coins is even,
(e) The sum of the amounts of both coins is less than $0.40.

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