A bag contains 4 red balls and 6 blue balls. Two balls are drawn at random (without replacement). What is the probability that both balls drawn are of the same color?

A game at a carnival involves rolling a fair six-sided die. The payouts are as follows: If you roll a 6, you win $10. If you roll a 4 or 5, you win $5. If you roll a 1, 2, or 3, you win nothing ($0$). What is the expected payout per roll (i.e. Find the expected value) ?

Find the general antiderivative. Assume

Suppose that and are integrable and that 

The base pair on top is most likely:

Most sequence specific DNA binding proteins interact with DNA in the major grove.  What is the primary reason this is true? 

Histone proteins vary in sequence and function among eukaryotes. 

Alexander Todd contributed to the knowledge of nucleic acids by discovering the way in which nucleotides are joined together in DNA.  This linkage is called:

Where would you most likely find chromatin in the beads on a string conformation?

How many “sugar-phosphate backbones” would be observed in Watson and Crick’s DNA model in a DNA strand of 100 base-pairs, all of which are C and G?