Leaving those lofty research heights, however, I'm compelled, by virtue of living in the real world, to continue to teach and assess my students--and that means writing tests and quizzes. Putting some of the practical lessons I've learned to good use, I spent quite a bit of time today writing a test on basic probability.
One thing I've learned: be explicit about what I expect. Rather than saying, "what is the probability of drawing, without replacement, 2 consecutive kings from a deck of cards?", my wording is now somewhat different:
What is the probability of drawing, without replacement, 2 consecutive kings from a deck of cards? State the applicable formula/rule, substitute numbers into that formula, and then solve.Clarity and specificity are the keys.
And if you're wondering, the answer would be:
P(A and B) = P(A)*P(B|A)
P(K and K) = 4/52*3/51 = 4/884 = 1/221