SOLUTION: Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of

Algebra ->  Probability-and-statistics -> SOLUTION: Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of       Log On


   



Question 1036563: Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar – banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9
B. 5/9
C. 7/9
D. 5/8

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It's 4/9.
You can count the 5 chocolate bar containing possibilities above
or
they are independent probabilities, and the probability of each one not picking a chocolate bar is 2/3. Multiply (2/3) by (2/3)=(4/9)