There are 6 white and 4 black in the urn. 5 balls were taken out of this urn for good

There are 6 white and 4 black in the urn. 5 balls were taken out of this urn for good luck. What is the probability that 2 of them are white and 3 are black?

The total number of outcomes when drawing 5 balls out of 10:
n = C (10.5) = 10! / (5! (10 – 5)!) = 6 7 8 9 10 / (1 2 3 4 5) = 252.
The number of outcomes when the white ball is drawn:
C (6,2) = 6! / (2! (6 – 2)!) = 5 6 / (1 2) = 15;
The number of outcomes when the black ball is drawn:
C (4.3) = 4;
Number of favorable outcomes:
m = 15 4 = 60;
The probability of drawing 2 white and three black balls:
P = m / n = 60/252 = 0.238.
Answer: 0.238.