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Question: 2014 Fall Midterm - 15

Author: Michiel Smid

You flip a fair coin 5 times. Define the events $$ A = \text{“the number of heads is odd”} $$ and $$ B = \text{“the number of tails is even”} $$ Which of the following is true?

a) $\Pr(A) = \Pr(B)$

b) $\Pr(A) < \Pr(B)$

c) $\Pr(A) > \Pr(B)$

You flip a fair coin 5 times. Define the events
  • A = "the number of heads is odd"
and
  • B = "the number of tails is even".
Which of the following is true?
(a)
$\Pr(A) < \Pr(B)$
(b)
$\Pr(A) > \Pr(B)$
(c)
$\Pr(A) = \Pr(B)$