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J and K are independent events and P(J given K) = 0.3. What is P(J)?
AIt equals 0.70
BIt equals 0.15
CIt equals 0.60
DIt equals 0.30
Answer & Solution
Correct answer: D. It equals 0.30
1. For independent events the conditional probability equals the plain probability.
2. So P(J given K) and P(J) must be the same number.
3. Since P(J given K) is 0.3, P(J) is 0.30 as well.
4. No arithmetic on 0.3 is needed, which is why 0.70 and 0.15 both go wrong.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
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