3. A three digit number is selected at random. What is the probability that its unit digit is 2
Bheem badwa hai
For any number, there are 10 possible digits for the unit place, one of those is the 2.
so prob(your event) = 1/10
To find the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.
1. Total Number of Possible Outcomes:
Since a three-digit number is selected at random, we have 900 possible outcomes. This is because there are 9 choices for the first digit (1 to 9), 10 choices for the second digit (0 to 9), and 10 choices for the third digit (0 to 9 again). Therefore, the total number of possible outcomes is 9 * 10 * 10 = 900.
2. Number of Favorable Outcomes:
To have a unit digit of 2, we need the third digit to be 2. This means we have only one choice for the third digit, which is 2. We can then choose any digit (0 to 9) for the first and second digits. Therefore, the number of favorable outcomes is 10 * 10 * 1 = 100.
3. Probability:
The probability is the ratio of the number of favorable outcomes to the total number of possible outcomes. So, the probability is 100 / 900 = 1/9, or approximately 0.1111.
Therefore, the probability that a randomly selected three-digit number has a unit digit of 2 is 1/9 or approximately 0.1111.