In a certain population, 22% of people are smokers, 57% of people are males and 12% males are smokers. If a person is chosen at random from the population, what is that probality that selected person is either a male or a smoker?
- AOption (a)
0.79
- BOption (b)
0.22
- COption (c)
0.45
- DOption (d)
0.67
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Correct answer
0.67
Why this answer is correct
The correct answer is 0.67
Key Points
- The probability that a selected person is either a male or a smoker can be found using the formula P(A or B) = P(A) + P(B) - P(A and B), where A and B are two events. Here, A represents the event of being a male, and B the event of being a smoker.
- The probability of a person in the population being a male, P(A), is given as 57% or 0.57, and the probability of a person being a smoker, P(B), is given as 22% or 0.22. The probability of a person being both a male and a smoker, P(A and B), is given as 12% or 0.12.
- Substituting these probabilities into the formula gives P(A or B) = 0.57 + 0.22 - 0.12 = 0.67.
- Therefore, the probability that a randomly selected person is either a male or a smoker is 0.67 or 67%.
Additional Information
- Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It is a measure of uncertainty associated with a particular outcome in a given situation.
- Probability provides a numerical measure of uncertainty or randomness associated with different outcomes of a particular event or experiment. It helps us understand how likely or unlikely an event is to occur.