You pick 5 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 5 digits of your phone number? Assume there are no repeats of digits in your phone number

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Answer:

Probability is : 1/30240= 0.000033068

Step-by-step explanation:

You pick 5 digits (0-9) at random without replacement, and write them in the order picked.

The probability that you have written the first 5 digits of your phone number is -

As there are no repeats, the choice to choose from decreases at each step making it 10,9,8,7,6.

[tex](1/10)(1/9)(1/8)(1/7)(1/6)=1/30240= 0.000033068[/tex]