In a certain city, the probability of a person being a smoker is 0.3. If two people are selected at random, what is the probability that both are smokers?
Practice Questions
1 question
Q1
In a certain city, the probability of a person being a smoker is 0.3. If two people are selected at random, what is the probability that both are smokers?
0.09
0.21
0.3
0.6
The probability that both are smokers is 0.3 * 0.3 = 0.09.
Questions & Step-by-step Solutions
1 item
Q
Q: In a certain city, the probability of a person being a smoker is 0.3. If two people are selected at random, what is the probability that both are smokers?
Solution: The probability that both are smokers is 0.3 * 0.3 = 0.09.
Steps: 7
Step 1: Understand that the probability of a person being a smoker is 0.3.
Step 2: When selecting two people, we want to find the probability that both are smokers.
Step 3: Since the selection of each person is independent, we can multiply the probabilities.
Step 4: Calculate the probability for the first person being a smoker, which is 0.3.
Step 5: Calculate the probability for the second person being a smoker, which is also 0.3.
Step 6: Multiply the two probabilities together: 0.3 * 0.3.
Step 7: The result of the multiplication is 0.09, which is the probability that both selected people are smokers.
