Let A represent a win for Anika and B represent a win for Bella. , There are 4 ways that Anika wins 3 matches out of 4.1. AAAB 2. AABA 3. ABAA 4. BAAACan also be computed by recognizing that this is combinations of 4 items taken 3 at a time: \({}_4{C_3} = 4\)For each of the ways that Anika wins 3 games out of 4, the probability is \({\left( {\frac{1}{2}} \right)^4} = \frac{1}{{16}}\). Since there are4 ways that this can occur, then the probability that Anika wins 3 out...