a three - digit personal identification number is chosen using the digits 1 - 9. the digits cannot be…

a three - digit personal identification number is chosen using the digits 1 - 9. the digits cannot be repeated. what is the approximate probability that the first digit will be 6?\n0.00595\n0.03571\n0.11111\n0.66667

a three - digit personal identification number is chosen using the digits 1 - 9. the digits cannot be repeated. what is the approximate probability that the first digit will be 6?\n0.00595\n0.03571\n0.11111\n0.66667

Answer

Explanation:

Step1: Calculate total possibilities for first - digit

There are 9 digits (1 - 9) to choose from for the first digit of the three - digit number.

Step2: Calculate favorable possibilities for first - digit

We want the first digit to be 6, so there is 1 favorable outcome for the first digit.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the probability that the first digit is 6 is $P = \frac{1}{9}\approx0.11111$.

Answer:

0.11111