Question

Two balls are drawn in succession out of a box containing 2 red and 3 white balls. Find the probability that at least 1 ball was red, given that the first ball was (A Replaced before the second draw. (By Hot replaced before the second draw. (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. (Simplify your answer. Type an integer or a fraction) (B) Find the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw (Simplify your answer. Type an integer or a fraction) ter you

Answer 1

Rrepresent red W represent white a) The yearst ball was replaced before the second draw. now, we have the following possibilités ERR, RW, WR , ww} platleast I ball i red with replacement of first ball) PCRR) + PCRW) + PCWR) - x3 + 3x2 = 4 +6 +6 25 25 25 b) The first ball was oot replaced before the second draw Again, the possibilities we have are, fRR,RW, WR, WW platleast I ball & red without replacement of first ball = P(RR) + PORW) + POWR) - 2 x L 4 4 + 2 x 3 5 4 + 3 X2 5 5 20 20 20 = 14 7

Therefore a) The probability that at least I ball was redes given that the first ball was replaced before the second draw is 25 b) The probability that atleast I ball was reda given that the vist ball was not replaced before the second draw ☺ I 10