The flour beetle, Tribolium castaneum, has 10 chromosomes, roughly equal in size, and it also has eight Hox genes (Brown et al. 2002; see Assignment Problem 24). If the eight Hox genes were randomly distributed throughout the genome of the beetle, what is the probability that all eight would land on the same chromosome?

Data from problem 24

Imagine that a long stretch of 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 chosen nucleotides?