there are 10 black and 20 white beads in a box if a bead is taken from it what is the probability of it being black beads, what is the probability of it being white beads , if 5 more black beads are added to the box and one is taken, what is the probability of it being white
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Answer:
First box contains 8 black and 12 white beads Second box contains 9 black and 6 white beads.
(a) One black bead from each box is taken.
Number of such cases = 8×9=72
Total number of possibilities = 20×15=300
Probablity of getting both black beads =
300
72
=
25
6
(b) One black and one white bead is taken.
So if one black bead is taken from first box then one white bead is taken from second box and if one white bead is taken from first box then one black bead is taken from second box.
Number of such cases = 8×6+12×9=48+108=156
Total number of possibilities = 20×15=300
Probablity of getting one black and one white bead =
300
156
=
25
13
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