# 3 balls are drawn from a jar that contains 5 white balls and 3 black balls. What is the probability that all 3 balls are same in color if there is no replacement?

Let A; The balls are of same colour. n(A) = $3 {C}_{3}$ + $5 {C}_{3}$
n (S0 = $8 {C}_{3}$ . P (A) = [$3 {C}_{3}$ + $5 {C}_{3}$ ]/$8 {C}_{3}$ = (1 + 10)/ 56
Same colour $\implies$ either all black or all white, 1 way or 10 ways.