Question

The table lists the smoking habits of a group of college students[graph below]If a student is chosen at random, find the probability of getting someone who is a regular or heavy smoker.If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker.

Answer 1

The probability of selecting a student who is a man or a non-smoker, accounting for the fact that 135 men are non-smokers, is approximately 0.910.

How do we find the probability of getting a man and non-smoker?

There are 399 students in total.

57 students are regular smokers.

20 students are heavy smokers.

176 students are men.

322 students are non-smokers.

P(Regular or Heavy Smoker) = (Regular Smokers + Heavy Smokers)/Total Students

P(Regular or Heavy Smoker) = (57+20)/399 = 0.193

P(Man or Non-Smoker) = P(Man) + P(Non-Smoker)−P(Man and Non-Smoker)

176/399 + 322/399 - 135/399

P(Man or Non-Smoker) = 0.441 + 0.807 - 0.338

​P(Man or Non-Smoker) = 0.91

Answer 2

Given that,

The table lists the smoking habits of a group of college students (given in the question)