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There are 25 students in Mrs. Y's eighth-grade class. On a cold winter day in February, many of the students had runny noses or sore throats. Round your answers to three decimal places.


 Sore Throat No Sore Throat
Runny Nose 6 12
No Runny Nose 4 3

a. Find the probability that a randomly selected student has a runny nose

b. Find the probability that a randomly selected student has a sore throat or a runny nose

c. Find the probability that a randomly selected student has neither a sore throat nor a runny nose

d. Find the probability that two different randomly selected students have a runny nose

e. Find the probability that a randomly selected student a sore throat given that he has a runny nose.

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