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.3.60 Question Hel Two balls are drawn in succession out of a box containing 3 r

ID: 3319363 • Letter: #

Question

.3.60 Question Hel Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that the second 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 the second ball drawn was red, given that the first ball drawn was replaced before the second draw. 3 (Type a decimal or a fraction.) (B Find the probability that the second ball drawn was red given that the first ball drawn was not replaced before the second ira . (Type a decimal or a fraction.)

Explanation / Answer

(B) P(second ball was red, given that the first ball was not replaced before second draw) = P(first and second ball were red) + P(first ball was not red and second was red)

= 3/8 x 2/7 + 5/8 x 3/7

= 3/8