Let : the set of first 3 bags
: a set of next 2 bags
WB : White ball
BB : Black ball
Now we can change the problem to two bags, i.e. bag A containing 15 white and 9 black balls( 5 white and 3 black in each bag) and bag containing 4 white and 8 black balls( 2 white and 4 black balls in each bag)
Probability of selecting bag is ( 3 bags are in ) and selecting is bags are in
We want to find the probability of selected white ball is from bag A
Therefore, the probability of selected white ball is from the first group is
There are 3 bags, each containing 5 white and 3 black balls. Also, there are 2 bags, each containing 2 white and 4 black balls. A white ball is drawn at random. Find the probability that this ball is from a bag of the first group.
There are 3 bags, each containing 5 white and 3 black balls. Also, there are 2 bags, each containing 2 white and 4 black balls. A white ball is drawn at random. Find the probability that this ball is from a bag of the first group.