Question

There are fourteen songs on your playlist. Eight of them are country and six are

Answer 1

Answer: 34.965%

Step-by-step explanation:

Number of ways of selecting 8 songs from 14 songs = = 14! / [ 8! × (14-8)! ]

= 14! / (8! × 6!)

= 3003

If you listended to exactly four country songs, then you should listen to four pop songs because you listened to 8 songs

Number of ways of selecting 4 country songs from total 8 country songs

= 8! / [ 4! × (8-4)! ]

= 8! / (4! × 4!)

= 70

Number of ways of selecting 4 pop songs from total 6 pop songs

= 6! / [ 4! × (6-4)! ]

= 6! / (4! × 2!)

= 15

Number of ways of playing 4 country songs and 4 pop songs in total 8 songs = 70 × 15

= 1050

So Probability that you listened to exactly four country songs =1050/3003

= 0.34965

= 34.965%