Statistics for Sciences: Probability Question

Question

Imagine that a long stretch of a single-stranded DNA has 30% adenine, 25% thiamine, 15% cytosine, and 30% guanine. (These make up the nucleotides of the DNA.) What is the probability of randomly drawing 10 adenines in a row in a sample of 10 randomly chose nucleotides?

Answer 1

The probability would be 0.30¹⁰ ≈ 0.000006

What's happening here is that we are multiplying the probability of drawing one adenine by itself 10 times since each draw is its own event.