Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random.
A) $\approx 0.0065$
B) $\approx 0.0094$
C) $\approx 0.0029$
D) $\approx 0.3628$

Question

Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random. 
A) $\approx 0.0065$
B) $\approx 0.0094$
C) $\approx 0.0029$
D) $\approx 0.3628$

Quizplus · Accepted Answer

The probability of selecting 3 science books from 8 science books is $\frac{8!}{3!5!}\times\frac{1}{8^3}$The probability of selecting 4 math books from 9 math books is $\frac{9!}{4!5!}\times\frac{1}{9^4}$The probability of selecting 3 science books and 4 math books is $\frac{8!}{3!5!}\times\frac{1}{8^3}\times\frac{9!}{4!5!}\times\frac{1}{9^4}$$\approx 0.3628$

Find the Probability of Selecting 3 Science Books and 4 ≈0.0065\approx 0.0065≈0.0065

Find the Probability of Selecting 3 Science Books and 4 $\approx 0.0065$