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$10 / 14$ answered
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Question 12
A math class contains 6 females (three of whom speak French and the rest speak only English), and 10 males (two of whom speak French and the rest speak only English).
a) A student in the class is chosen at random. If you're told the student is female, what is the probability that the stirident can speak French?
b) The first student is "placed" back into the class, and another student is chosen at random. If you're told the student can speak French, what is the probability the student is female?
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Answer
Final Answer: The probability that a randomly chosen female student can speak French is \(\boxed{0.5}\). The probability that a randomly chosen student who can speak French is female is \(\boxed{0.6}\).
Step 1 ：There are 6 females in the class, 3 of whom can speak French. So, the probability that a randomly chosen female student can speak French is \(\frac{3}{6}\) or \(0.5\).
Step 2 ：There are 5 students who can speak French (3 females and 2 males). So, the probability that a randomly chosen student who can speak French is female is \(\frac{3}{5}\) or \(0.6\).
Step 3 ：Final Answer: The probability that a randomly chosen female student can speak French is \(\boxed{0.5}\). The probability that a randomly chosen student who can speak French is female is \(\boxed{0.6}\).
