The probability that a hummingbird has a red beak, red eyes and a red tail are 0.7, 0.8 and 0.4 respectively. The probability that a hummingbird has all 3 and none of the three is 0.1 and 0.05 respectively.
Let $P$ be the probability that a hummingbird has a red beak, red eyes, but no red tail. What is the range of values of $P$?
I get that $P(exactly.2.of.the.3)=0.75$ but am not sure how to proceed from there.