Question

In a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment. When considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60)(0.80) = 0.48. Is this student correct in his approach?

Yes, these two events are most likely independent, so the joint probability can be found by multiplying the individual probabilities.
No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent.
No, these two events are most likely not independent, so the joint probability cannot be found by multiplying the individual probabilities. They should be added instead.
Yes, the joint probability can always be found by multiplying the individual probabilities.

Answer 1

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent , Option B is the answer.

What is Probability ?

Probability is the study of likeliness of an event to happen. The range of probability is 0 to 1.

It is given that

In a certain city, 60% of the heads of household own the house in which they reside,

and 80% of the heads of the household have full-time employment.

percentage of heads of household both own their home and have a full-time job =?

As the probability of a person having both their own home and having full time employment are not independent , therefore

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent.

Therefore Option B is the correct answer.

To know more about Probability

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