the following table descibes the smoker habits of a group of

the following table descibes the smoker habits of a group of asthma sufferers.

If one of the 1087 people is randomly selected, find the probability of getting a regular or occasional smoker.

Solution

Here we are given that there are total 1087 peoples.

find the probability of getting a regular or occasional smoker.

Let A be the event that regular smoker.

B be the event that occasional smoker.

P(regular or occasional smoker) =P(A or B) = P(A) + P(B) - P(A and B)

but regular smoker and occasional smoker are independent events so the probability is 0.

P(A or B) = P(A) + P(B)

P(A or B) = 156/1087 + 86/1087 = 0.2226