A piano has 88 keys. Show with numbers the probability of hitting a particular key if you shut your eyes and strike one key.
If you assume equal likelihood of hitting any key, it will be 1/88 for any key.
In practice, one is much more likely to strike a key in front of oneself as compared to reaching far left or right.
To calculate the probability of hitting a particular key on a piano, we need to know the total number of keys and the number of choices available. In this case, there are 88 keys on a piano, and we can only choose one key.
The probability can be calculated using the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
So, the probability of hitting a particular key with your eyes shut can be calculated as:
Probability = 1 / 88
Probability = 0.0114 or 1.14% (rounded to two decimal places)
Therefore, the probability of hitting a specific key is approximately 0.0114, or 1.14%.
To calculate the probability of hitting a particular key on a piano with 88 keys while closing your eyes and striking one key, we need to determine the total number of possible outcomes (number of keys on the piano) and the number of favorable outcomes (hitting the specific key you are interested in).
In this case:
1. Total number of possible outcomes: 88 (since there are 88 keys on the piano)
2. Number of favorable outcomes: 1 (as you are interested in hitting a specific key)
Now, we can calculate the probability using the formula:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Substituting the values:
Probability = 1 / 88
Therefore, the probability of hitting the particular key you want, assuming you randomly strike one key with your eyes closed, is 1/88.