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?

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Answer 1 · 2015-11-02T04:58:39

Let A; The balls are of same colour. n(A) = #3C_3# + #5C_3#
n (S0 = #8C_3# . P (A) = [#3C_3# + #5C_3# ]/#8C_3# = (1 + 10)/ 56
= 11/56.

Same colour #=># either all black or all white, 1 way or 10 ways.