Answer:
0.0008
Step-by-step explanation:
The formula for a hypergeometric probability is
[tex]\frac{(_AC_x)(_BC_{n-x})}{_NC_n}[/tex]
where N is the population, A is the number of objects of type A, B is the number of objects of type B, n is the sample size and x is the number of successes.
In this problem, N is 13. A is 5, since there are 5 objects drawn, and B is 8, since there are 8 remaining objects.
The sample size, n, is 5, and x is 5:
[tex]\frac{(_5C_5)(_8C_0)}{_{13}C_5}\\\\=\frac{1(1)}{1287}=\frac{1}{1287}\approx 0.0008[/tex]