Q:

Two balls are drawn in succession out of a box containing 2 red and 5 white balls. Find the probability that at least one ball was red , given that the first ball​ was:​(A)  replaced before the second draw.​(B)  not replaced before the second draw.

Accepted Solution

A:
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫➷ A) (2/7 x 2/7) + (2/7 x 5/7) + (5/7 x 2/7) = 4/49 + 10/49 + 10/49 = 24/49 <== this is the answerB) (2/7 x 1/6) + (2/7 x 5/6) + (5/7 x 2/6) - 2/42 + 10/42 + 10/42 = 22/42 <== this is the answerThe second answer could be simplified to 11/21 (only write this answer if it wants the simplified version, otherwise write the one above)✽➶ Hope This Helps You!➶ Good Luck (:➶ Have A Great Day ^-^↬ ʜᴀɴɴᴀʜ ♡