A campus survey of owls indicates that 7% are charming, 4% are modest, and 3% are both charming and modest. Find the probability that an owl is modest, given that he/she is charming.

Respuesta :

The probability that an owl is modest, given that he/she is charming is .4286.

Probability

Using this formula

P(modest or charming) =P(Modest and charming)/P(Charming)

Where:

P(Modest and charming) =0.03

P(Charming) =0.07

Let plug in the formula

P(modest or charming)=0.03/0.07

P(modest or charming)=.42857

P(modest or charming)=.4286 (Approximately)

Inconclusion the probability that an owl is modest, given that he/she is charming is .4286

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