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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

Respuesta :

LammettHash
[tex]P = \text{study with Patrick}[/tex]
[tex]C = \text{study with Carl}[/tex]
[tex]F = \text{female}[/tex]

[tex]\mathbb P(F\mid C)=\dfrac{\mathbb P(F\cap C)}{\mathbb P(C)}=\dfrac{0.66}{0.80}=0.825\approx0.83[/tex]
sofia50923

Answer:

The probability of selecting a female is 83%

Step-by-step explanation:

So the correct option is D) 0.83

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