Answer:
The probability of selecting a man or a heavy smoker is 1 - 0.429 = 0.571
Explanation:
To find the probability that a randomly selected person from the table is a man or a heavy smoker, we need to add the number of men and the number of heavy smokers, and then divide by the total number of people.
Probability of man or heavy smoker = (Number of men + Number of heavy smokers) / Total number of people
From the table, we can see that there are 527 men and 75 heavy smokers. The total number of people is 1055.
Probability of man or heavy smoker = (527 + 75) / 1055 = 0.571
Therefore, the probability that a randomly selected person from the table is a man or a heavy smoker is 0.571.
Another way to solve this problem is to use the concept of complementary probability. The complementary probability of an event is the probability of the event not happening. In this case, the complementary probability of selecting a man or a heavy smoker is the probability of selecting someone who is neither a man nor a heavy smoker.
Probability of not man or heavy smoker = 1 - Probability of man or heavy smoker
We can see from the table that there are 452 people who are neither men nor heavy smokers. So, the probability of selecting someone who is neither a man nor a heavy smoker is 0.429.
Probability of not man or heavy smoker = 452 / 1055 = 0.429
Therefore, the probability of selecting a man or a heavy smoker is 1 - 0.429 = 0.571.
Which method you use to solve this problem is up to you. Both methods are correct and will give you the same answer.