Question

Suppose you have 150 songs on your traveling playlist and that when you select "shuffle playlist" each song has an equal probability of being selected. Since you have very eclectic taste, there are different genres of music on this playlist. 25 songs are classical, 30 songs are rock, 20 songs are country, and 75 songs are alternative.

What is the probability that a country song is selected first? Please give your result as a decimal rounded to the nearest thousandth.

What is the probability that an alternative song is selected first? Please give your result as a decimal rounded to the nearest thousandth.

The probability that a classical song is selected first is ________________ percent. Please round to the nearest tenth.

There are 10 skittles left in a package. 4 are red, 2 are yellow, 3 are orange, and 1 is green. You reach into the package and select one skittle. There is a __________________ percent chance that you do not select an orange skittle. Please round to the nearest tenth.

Suppose I roll one fair 6-sided die. The sample space is __________

Answer 1

PART 1

What is the probability that a country song is selected first?

P(Country Song is selected)

What is the probability that an alternative song is selected first?

P(Alternative song is selected)

PART 2

P(Not selecting an orange skittle) = 1 - P(Selecting an orange skittle)

Hence there is a 70% chance that you do not select an orange skittle.

PART 3

Sampe space

= {1,2,3,4,5,6}

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