A bag initially contains one red and two blue balls. an experiment consisting of selecting a ball at random noting its colour and replacing it together with an additional ball of same colour. if three such trials are made, the
Answers
Given : A bag initially contains one red and two blue balls . an experiment consisting of selecting a ball at random noting its colour and replacing it together with an additional ball of same colour.
To find : if three such trials are made, , probability that at least one blue ball is drawn
Solution:
probability that at least one blue ball is drawn = 1 - no Blue Ball Drawn
=> only red ball drawn in each trial
Initially two Blue balls , one Red
Total Balls = 3
in 1st trial probability of Red = 1/3
Red ball will be added
=> two Blue balls , Two Red
Total Balls = 4
in 2nd trial probability of Red = 2/4 = 1/2
Red ball will be added
=> two Blue balls , three Red
Total Balls = 5
in 3rd trial probability of Red = 3/5
probability that at least one blue ball is drawn = 1 - (1/3)(1/2)(3/5)
= 1 - 1/10
= 9/10
= 0.9
0.9 is the probability that at least one blue ball is drawn
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