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Mary and Mark draw 13 cards each from a standard deck of 52. Given that Mary has exactly two Queens, What is the probability that Mark has exactly one Queen?   (Assume that, all cards were chosen randomly without replacement and Mary picks her cards first then Mark picks after).

50 high school seniors were asked about their plans following graduation. 30 students planned to attend college.  14 planned to attend only an in-state college. 11 planned to attend only an out-of-state college. 8 did not plan to attend college 12 were undecided. What percent of this group of seniors is not planning to attend an in-state-college?

Consider the data on wafers classified by contamination and location in the table below.   Number of Contamination Particles Center Edge Totals 0 0.28 0.12 0.40 1 0.17 0.03 0.20 2 0.1 0.05 0.15 3 0.06 0.04 0.10 4 0.04 0.01 0.05 5 or more 0.07 0.03 0.10 Totals 0.72 0.28 1   Assume that one wafer is selected at random from this set. Let A denote the event that a wafer contains four or more particles, and let B denote the event that a wafer is from the center of the sputtering tool. Determine P(B|A) 

An bag contains 15 marbles of which 10 are red and 5 are white. 5 marbles are selected from the bag. How many samples (of size 5) have at most 2 red marbles?

Consider the following circuits of 4 identical relays. The probability that any relay works is 0.7 and the failures of the relays are independent. What is the probability that, when current is applied, it flows from point 1 to 2?    

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) ?

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

What is the polarity of the strand of DNA on the right?

How many different classes of histone proteins are there?  

True/False: “Carbohydrate loading” is a myth and is ineffective in all levels of athletes.