Questions concerning the probability of picking correct digits

Question

1) Using digits 0-9, what is the probability of choosing 4 digits in the exact order they are drawn?

Answer 1

For any given digit 0-9, there is a 1/10 chance of selecting that digit. If you have to have an exact order, you would simply do (1/10)⁴ because you have to multiply the probabilities of each individual number being drawn. The only way to draw 2437 is to draw a 2, then a 4, then a 3, then a 7. Assuming the numbers are replaced in the drawing, each number should be an independent event within the entire trial. so your final answer would be (1/10)⁴ which is 1/10000.