Kate and David each have \$10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David \$1.

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.