MathDB
Problem: 2004 AMC 10 #10

Source:

February 1, 2007
probability

Problem Statement

Coin A A is flipped three times and coin B B is flipped four times. What is the probability that the number of heads obtained from flipping the two fair coins is the same? <spanclass=′latex−bold′>(A)</span> 19128<spanclass=′latex−bold′>(B)</span> 23128<spanclass=′latex−bold′>(C)</span> 14<spanclass=′latex−bold′>(D)</span> 35128<spanclass=′latex−bold′>(E)</span> 12 <span class='latex-bold'>(A)</span>\ \frac {19}{128}\qquad <span class='latex-bold'>(B)</span>\ \frac {23}{128}\qquad <span class='latex-bold'>(C)</span>\ \frac {1}{4}\qquad <span class='latex-bold'>(D)</span>\ \frac {35}{128}\qquad <span class='latex-bold'>(E)</span>\ \frac {1}{2}
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