Question :
There are two small boxes A and B . In A there are 9 white beads and 8 black beads. In B there are 7 white and 8 black beads. We want to take a bead from a box. (a) What is the probability of getting a white bead from each box? (b) A white bead and a black bead are added to box B an then a bead is taken from it. What is probability of getting a white bead from it.Submitted on 4/2/2024 | Answered by Vandana RanaAnswer :
Total number of beads in box A =9W+8B = 17Total number of beads in box B =7W +8B= 15
(a) P(getting a white bead from box A) =
9/17
P(getting a white bead from box B) =
7/15
(b) When a white bead and a black bead are added to box B,
Number of white beads in box
B = 7W+1W
=8W
Number of black beads in box B
=8B +1B
= 9B
Thus, total number of beads in box
B =8W +9B
= 17
Hence, P(getting a white bead from box B) = 8/17