Answer:
P=0.0899.
Step-by-step explanation:
We know that are 5 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement. We calculate the probability that exactly 3 black balls are drawn.
Therefore, we have 14 balls in an urn.
We calculate the number of possible combinations:
[tex]C_4^{14}=\frac{14!}{4!(14-4)!}=1001\\[/tex]
We calculate the number of favorable combinations:
[tex]C_3^5\cdot C^9_1=10\cdot 9=90[/tex]
Therefore, the probability is:
P=90/1001
P=0.0899.