Exercise 118 Page 138

a To determine probability we divide the number of favorable outcomes with the number of possible outcomes.

P=Number of favorable outcomes/Number of possible outcomesBy adding the number of songs from each genre, we get the total number of songs in the playlist. 3+6+4+5+1+3=22 Rap covers the genres hip-hop rap and Latin rap, for a total of 5 songs on the playlist. With this information we can calculate the probability of listening to rap when a song is randomly selected.

P=Number of favorable outcomes/Number of possible outcomes

SubstituteValues

Substitute values

P(rap)=5/22

CalcQuot

Calculate quotient

P(rap)=0.22727...

RoundDec

Round to 2 decimal place(s)

P(rap)≈ 0.23

b Traditional covers the genres traditional country, traditional rock, and traditional pop for a total of 12 songs on the playlist. With this information, we can calculate the probability of listening to traditional songs of any kind.

P=Number of favorable outcomes/Number of possible outcomes

SubstituteValues

Substitute values

P(traditional)=12/22

CalcQuot

Calculate quotient

P(traditional)=0.54545...

RoundDec

Round to 2 decimal place(s)

P(traditional)≈ 0.55

c There are 3 traditional pop songs on the playlist. With this information, we can determine the probability of listening to traditional songs.

P=Number of favorable outcomes/Number of possible outcomes

SubstituteValues

Substitute values

P(traditional pop)=3/22

CalcQuot

Calculate quotient

P(traditional pop)=0.13636...

RoundDec

Round to 2 decimal place(s)

P(traditional pop)≈ 0.14

d If we want the probability of not listening to country, the favorable outcomes will be any song that is not country. We know that there is a total of 22 songs on the playlist. We also know that 5 of these are contemporary country and 3 are traditional country. Now we can calculate the number of songs that are not country.

Not country: 22-5-3=14 Now we can calculate the probability of picking a song that is not country.

P=Number of favorable outcomes/Number of possible outcomes

SubstituteValues

Substitute values

P(not country)=14/22

CalcQuot

Calculate quotient

P(not country)=0.63636...

RoundDec

Round to 2 decimal place(s)

P(not country)≈ 0.64