Suppose a license plate contains four digits.The probability of a license plate having an even or odd digit is the same.What is the probabilty of having a license plate with all even digits.
http://www.jiskha.com/display.cgi?id=1257543695
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 and the number of license plates with all even digits.
Since the license plate contains four digits, each digit can be any number from 0 to 9. However, since we want all the digits to be even, the possible options for each digit are limited to 0, 2, 4, 6, and 8.
So, let's calculate the total number of possible license plates. Since each digit can be any number from 0 to 9, we have 10 options for each digit. Therefore, the total number of possible license plates is 10 * 10 * 10 * 10 = 10,000.
Now, let's determine the number of license plates with all even digits. Since each digit can be 0, 2, 4, 6, or 8, we have 5 options for each digit. Therefore, the number of license plates with all even digits is 5 * 5 * 5 * 5 = 625.
Finally, we can calculate the probability by dividing the number of license plates with all even digits by the total number of possible license plates:
Probability = (Number of license plates with all even digits) / (Total number of possible license plates)
= 625 / 10,000
= 0.0625
Therefore, the probability of having a license plate with all even digits is 0.0625, or 6.25%.