Question 16
The probability of rain is 3/5. Andrew and Bella go home from school. Andrew brings an umbrella with probability 1/3; Bella does so with probability b. If it does not rain, they go together with probability c. If it rains, they go together if and only if exactly one brings an umbrella. Their probability of going together is 2/5. The minimum of $b^2+c^2$ is δ. Find $\lfloor100\delta\rfloor$.