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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

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by VJesus12 » Thu Apr 08, 2021 12:11 pm

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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
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