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%
