In a group of 50 people, 20 are smokers. What is the probability that a randomly

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Question: In a group of 50 people, 20 are smokers. What is the probability that a randomly selected person is a non-smoker? (2021)

Options:

Correct Answer: 3/5

Exam Year: 2021

Solution:

There are 50 - 20 = 30 non-smokers. The probability is 30/50 = 3/5.

In a group of 50 people, 20 are smokers. What is the probability that a randomly selected person is a non-smoker? (2021)

In a group of 50 people, 20 are smokers. What is the probability that a randomly selected person is a non-smoker? (2021)

Step 1: Identify the total number of people in the group, which is 50.
Step 2: Identify the number of smokers in the group, which is 20.
Step 3: Calculate the number of non-smokers by subtracting the number of smokers from the total number of people: 50 - 20 = 30.
Step 4: Write the probability of selecting a non-smoker as the number of non-smokers divided by the total number of people: 30/50.
Step 5: Simplify the fraction 30/50 to its simplest form, which is 3/5.

Probability Calculation – Understanding how to calculate the probability of an event based on the ratio of favorable outcomes to total outcomes.
Complementary Events – Recognizing that non-smokers are the complement of smokers in this context.