Question

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 )

Answer 1

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.