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

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Question: In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)

Options:

Correct Answer: 3/5

Solution:

Number of non-smokers = 50 - 20 = 30. Probability = 30/50 = 3/5.

In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)

In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)

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: 30/50 = 3/5.

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