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# Probability

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In a math class of 30 students, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly selected group of five students from the class, there will be three freshmen girls and two freshmen boys? Express your answer as a decimal to the nearest thousandth.

Jul 22, 2022

$${11 \over 30} \times {10 \over 29} \times {12 \over 28} \times {11 \over 27} \times {10 \over 26} \times {5 \choose 2} = \text{____}$$