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Kate and David each have \(\$10.\) Together they flip a coin \(5\) times. Every time the coin lands on heads, Kate gives David \(\$1.\) Every time the coin lands on tails, David gives Kate \(\$1.\) After the coin is flipped \(5\) times, what is the probability that Kate has more than \(\$10\) but less than \(\$15?\)
A. \(\dfrac5{16}\)
B. \(\dfrac{15}{32}\)
C. \(\dfrac12\)
D. \(\dfrac{21}{32}\)
E. \(\dfrac{11}{16}\)
Answer: B
Source: GMAT Club Tests
A. \(\dfrac5{16}\)
B. \(\dfrac{15}{32}\)
C. \(\dfrac12\)
D. \(\dfrac{21}{32}\)
E. \(\dfrac{11}{16}\)
Answer: B
Source: GMAT Club Tests

















