Question

A rain drop randomly drops on the keys of a piano, what is the probability that the drop landed on a black key? (Assume that the drop had to land on a key and did not land on two at the same time).

Answer 1

The probability of a randomly falling raindrop landing on a black piano key is approximately 40.9%, calculated by dividing the number of black keys (36) by the total number of keys on a standard piano (88).

Step-by-step explanation:

The question asks about the probability that a randomly falling raindrop lands on a black key on a piano. To find this probability, you would need to know the total number of keys on the piano and how many of those are black keys. A standard piano has 88 keys, and of those, 36 are black keys. Therefore, the probability P that the rain drop lands on a black key can be calculated as:

P(black key) = Number of black keys / Total number of keys

P(black key) = 36 / 88 ≈ 0.409

So, the probability is approximately 0.409, or 40.9% that the raindrop will land on a black key, assuming it lands on one key and does not land on the space between keys or on multiple keys at the same time.