one bag contains 5 white and 3 black balls. another bag contains 4 white and 6 black balls. if one ball is drawn from each bag . find the probability that
- both are white
- both are black
- one white and one black
bag 1: 5 W+ 3B total balls = 8
bag 2: 4W+6B ,total balls = 10
W and B represents the white and black ball respectively.
1.
both the balls are white.
probability of getting white ball from bag 1 is 5/8.
probability of getting white ball from bag 2 is 4/10
probability that both the balls are white = 
2.
both the balls are black.
probability of getting black ball from bag 1 is 3/8.
probability of getting black ball from bag 2 is 6/10 = 3/5
probability that both the balls are black = 
3.
one white and one black.
it may happen in two ways that white ball is from bag1 and black ball is from bag2, or white ball is from bag2 and black ball is from bag1.
the probability that white ball is from bag1 and black ball is from bag2 = 
the probability that white ball is from bag2 and black ball is from bag1 = 
thus the probability that one ball is black and 1 ball is white = 
hope this helps you.