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Which of the following scenarios MUST represent two independent events?

P(blue) = 20%, P(green) = 60%, P(blue and green) = 13%

P(blue) = 40%, P(green) = 30%, P(blue and green) = 13%

P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

P(blue) = 80%, P(green) = 20%, P(blue and green) = 18%

Respuesta :

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

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