suppose a license plate contains 4 digits.the probability of plate number having an even or an odd digit is the same.what is the probabilty of having a license plate with all even digits.
pr= 1/2*1/2*1/2*1/2 Amazing. That is exactly the same probability as getting any other combination of even or odd.
To find the probability of having a license plate with all even digits, we first need to determine the total number of possible license plates with 4 digits.
Since each digit can take values from 0 to 9, we have a total of 10 choices for each digit. So, the total number of possible combinations is given by:
Total combinations = 10 * 10 * 10 * 10 = 10,000
Now, let's consider the probability of having an even digit in any one place on the license plate.
Out of the 10 possible digits (0-9), half of them are even (0, 2, 4, 6, 8) and half are odd (1, 3, 5, 7, 9). Therefore, the probability of getting an even digit in any single place is 1/2.
Since there are 4 digits on the license plate, and the probability of getting an even digit in each place is independent of the others, we can simply multiply the probabilities together:
Probability of getting all even digits = (1/2) * (1/2) * (1/2) * (1/2) = 1/16
Therefore, the probability of having a license plate with all even digits is 1/16 or 0.0625, which can also be expressed as 6.25%.