Question

Total number and a number plate have 4 numbers. What is the probability of getting number 7 in the plate?

a) 1/1000
b) 1/10
c) 1/100
d) 1/10000

Answer 1

The probability of getting the number 7 in a number plate with 4 numbers is 1/250.

Step-by-step explanation:

The total number of possible number plates with 4 numbers is 10,000, as there are 10 choices (0-9) for each digit in the number plate. To find the probability of getting the number 7 in the plate, we need to determine the number of favorable outcomes (number plates with at least one 7) and divide it by the total number of possible outcomes.

To have at least one 7 in the number plate, we can consider two scenarios:

• 1. The 7 is in the first digit, and the rest can be any digit (10 choices).
• 2. The 7 is in the second, third, or fourth digit, and the rest can be any digit (10 choices).

Therefore, the number of favorable outcomes is 10 + 10 + 10 + 10 = 40. The probability of getting the number 7 in the plate is then 40/10,000 = 1/250.