Question

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Two balls are drawn in succession out of a box containing 5 red and 5 white balls. Find the probability that at least 1 ball was red given that the first ball was (A) Replaced before the second draw. (B) Not 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) Enter your answer in each of the answer boxes God e . e here to search F12 Priser F11 F10 F7 FB F9 I F6 F3 * # $ % & 7 8 0

Answer 1

consider the ven that Jtequired Property sollions above given af Pried = = Pchite- & oh Propability that at least I ball wal ned given that the first ball was replaced before the Pred) (Pahite) (2) Second draw По El- 1 by using conditional Propability theorem 115) - "ply P(x, y) Ply) P (6,"f) P (gjely)

2 ofer Red balls Pl? s R P R A IP(x, = R) = 5 / o 78 9 ľ (, ya) = () = Simillilally while bills so same 1) 14 Porobability of pl xorva) (x! x Prabbility of getting both Redd white both bells have same colours 17 9 colours bells = 1 - 2 - 3 - 519

Probability of getting at least Red colours balls P(x, 72) + Probability of getting both colourbulls allo + blo - The
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