Of all the yoga students in a particular area, 20% study with patrick and 80% study with carl. we also know that 8% of the yoga students study with patrick and are female, while 66% of the students study with carl and are female. what is the probability that a randomly selected yoga student is female, given that the person studies yoga with carl?
a) .35
b) .56
c) .69
d) .83

Option D - 0.83          

Step-by-step explanation:

Given : Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female.

To find : What is the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl?      

Solution :

Let p- Patrick , c-Carl  and f-female

So, we have given that ,

We have to find conditional probability where yoga student is female , given that the person studies yoga with Carl i.e,

The formula is

Substitute the values we get,

Approximately,

Therefore, Option D is correct.

The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

0.83

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step-by-step explanation: