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 sample space and find the probability that
(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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