Finding Normal Probabilities Worksheet With Answer Key Page 17

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The Binomial Distribution
Example. Suppose we have a large number of cards each marked
with one of the letters A,B,C,D,E. I draw five cards (indepen-
dently) from this deck and ask someone to guess which letter is
on each of them. What is the probability that they get exactly
two of them correct?
Context: This is a model for an ESP experiment (p. 269 of
text). If someone guesses the right answer more often than they
should do by chance, this is sometimes taken as evidence of ESP.
However, maybe they just got lucky — we can assess this better
if we know the probabilities of different outcomes that might
occur by chance.
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