MathDB

10

Part of 2004 AMC 10

Problems(2)

Problem: 2004 AMC 10 #10

Source:

2/1/2007
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}
probability
Grocer's Can Display

Source:

1/5/2009
A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains 100 100 cans, how many rows does it contain? <spanclass=′latex−bold′>(A)</span> 5<spanclass=′latex−bold′>(B)</span> 8<spanclass=′latex−bold′>(C)</span> 9<spanclass=′latex−bold′>(D)</span> 10<spanclass=′latex−bold′>(E)</span> 11 <span class='latex-bold'>(A)</span>\ 5\qquad <span class='latex-bold'>(B)</span>\ 8\qquad <span class='latex-bold'>(C)</span>\ 9\qquad <span class='latex-bold'>(D)</span>\ 10\qquad <span class='latex-bold'>(E)</span>\ 11