Answer: 0.001
Explanation:This is a combination problem, so we need to calculate the combination of 7 choose 5, and then multiply by the probability of each event:
Combination of 7 choose 5:
C(7,5) = 7! / (5! * 2!) = 7*6/2 = 21
This value means that we have 21 different possibilities of the 5 days we want being allocated in the 7 days
Now, the probability of each event is:
5 days playing the song: (0.15)^5
2 days not playing the song: (0.85)^2
So, the final probability is
P = C(7,5) * (0.15)^5 * (0.85)^2 = 0.001