Lewis has 87 country songs, 45 heavy metal songs, and 28 blue-grass songs on his playlist. How can you answer these questions?

A) What is the probability that if a song is randomly selected it would NOT be a heavy metal song? ( Use the format of P(Event): fraction, decimal, percent )

B) Lewis listened for a while when he was doing his math homework and counted 8 country songs. How many songs total would Lewis have probably heard? ( Round you answer to the nearest whole song )

1 Answer
Feb 27, 2018

A: #P#(not heavy metal)#= 23/32#, #0.71875#, #71.875%#
B: #15#

Explanation:

#87+45+28 = 60#

total no. of possibilities: #160#

P(event) = number of ways in which the event could happen / all possible outcomes

the number of possible songs to choose from is #160#.

#160 - 45 = 115#

out of these #160# songs, #115# are not heavy metal.

this means that the probability of selecting a song that is not heavy metal is #115/160#.

#115/160 = 23/32#

#P#(not heavy metal)#= 23/32#, #0.71875#, #71.875%#

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Lewis has #87# country songs in total.

#8/87 * 87 = 8 * 1 = 8#

#8# country songs is #8/87# of the total number of country songs he has.

the total number of songs that he may have heard is #8/87 * 160#.

#8/87 * 160 = 14.712...#

#14.712 ~~ 15# (nearest #1#)

if Lewis heard #8# country songs, he may have heard #15# songs in total.