SOLUTION: You choose a tile at random from a bag containing 3 A's, 2 B's, and 4 C's. You replace the first tile in the bag and then choose again. Find ​P(Upper A and Upper A ). Question c

Algebra ->  Probability-and-statistics -> SOLUTION: You choose a tile at random from a bag containing 3 A's, 2 B's, and 4 C's. You replace the first tile in the bag and then choose again. Find ​P(Upper A and Upper A ). Question c      Log On


   



Question 1207296: You choose a tile at random from a bag containing 3 A's, 2 B's, and 4 C's. You replace the first tile in the bag and then choose again. Find ​P(Upper A and Upper A ).
Question content area bottom
Part 1
​P(Upper Aand Upper A)equals=

Answer by ikleyn(52781) About Me  (Show Source):
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You choose a tile at random from a bag containing 3 A's, 2 B's, and 4 C's.
You replace the first tile in the bag and then choose again. Find ​P(Upper A and Upper A ).
Question content area bottom
Part 1
​P(Upper A and Upper A) equals =
~~~~~~~~~~~~~~~~~~

Total tiles in the bag is 3+2+4 = 9.


P(A) = number_of_As_tiles%2Ftotal_tiles = 3%2F9 = 1%2F3.


Since choosing is with replacement, the conditions to choose the second tile are the same 
as for the first tile.


THEREFORE,  P(A and A) = P(A)*P(A) = %281%2F3%29%2A%281%2F3%29 = 1%2F9.    ANSWER

Solved.