a piano has 88 keys.show with numbers the probability of hitting a particular key if you shut your eyes and strike a key.
1. key position and size
The white keys are different in size than the black keys, and they are not placed in the same location.
2. the mid octaves are more easily accessible than the very high and very low octaves.
Assuming complete random choice of the keys (which is not true), there are 88 choices out of which we choose one key.
What is the probability of hitting one particular key assuming complete random choice, and knowing that all probabilities have to add up to 1 (Kolmogorov's axiom 2)?
To calculate the probability of hitting a particular key on a piano, you need to determine the number of favorable outcomes (hitting the desired key) and the total number of possible outcomes (hitting any key).
In this case, the total number of possible outcomes is 88, as there are 88 keys on the piano.
Now, assuming you have no visual clues and you shut your eyes before striking a key, each key has an equal chance of being struck. Therefore, the probability of hitting a particular key is the same for all keys.
To represent the probability with numbers, you can assign each key a number from 1 to 88, indicating its position on the piano keyboard. The probability of hitting any specific key would then be 1 out of 88, or 1/88.
So, the probability of hitting a particular key on a piano, with your eyes closed, is 1/88 for every key.