The weather forecast gives a 20% chance of rain tomorrow. If it is fine, the probability that Bernard will go sailing is 80%, but if it rains, the probability that he will go sailing is only 10%. Display the sample space of possible outcomes on a tree diagram. Determine the probability that tomorrow: a. is fine and Bernard goes sailing
b. is wet and Bernard does not go sailing
c. Bernard goes sailing.

help me! I've got the answer but doesn't if it's correct.
my
a. 80%
b. 90%
c. 9/10​