Thomas has a box with four black color bottles and eight gray color bottles. Two bottles are drawn without replacement from the box. What is the probability that both of the bottles are gray

Mathematics · Middle School · Tue Nov 03 2020

Answered on

According to the question , there are 12 total bottles in the box

 There are 4 black color and 8 gray color bottles 

The probability of getting a grey bottle on the first draw  =  8/12 

Now there are 11 bottles left in the box, and 7 of them are grey

The probability of getting a grey bottle on the second draw is  7/11 

 The probability of both events =

          (8/12) * (7/11) = 56/132 

                                     = 14/33 Answer