Given three indentical bags each containing 10 Balls, whose colours are as follows:
Red | Blue | Green | |
Bag I | 3 | 2 | 5 |
Bag II | 4 | 3 | 3 |
Bag III | 5 | 1 | 4 |
A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is
from bag I is p and if the ball is Green, the probability that it is from bag III is 
, then the value
of 
is:
Text Solution
Verified by ExpertsC
Probability that a Red ball comes from Bag I 
:
Substituting the values,
Simplify to find 
:
So, 
.
Probability that a Green ball comes from Bag III ( 
):
Substitute the values,
Simplify to find 
:
So, 
.
Calculation of 
:
Therefore,
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