The box contains 6 blue pens , 8 black pens and 3 red pens. What is the probability that he will pick a blue pen?
Answers
Answer:
Step-by-step explanation:
Total no. of pen = 17
Total no. of possible outcomes = 17
No. of blue pen = 6
Probability of selecting a blue pen = 6/17
Given : The box contains 6 blue pens , 8 black pens and 3 red pens.
Some more blue pens are added to the box.
The probability of selecting a blue pen is now 1/2.
To Find : Initially probability that he will pick a blue pen
How many blue pens were Added to the box?
Solution:
The box contains 6 blue pens , 8 black pens and 3 red pens.
Total Pens = 6 + 8 + 3 = 17
Blue pens = 6
probability that he will pick a blue pen = 6/17
Let say B blue pens added
Then Total Pens = 17 + B
Blue pens = 6 + B
probability of selecting a blue pen = 1/2
=> (6 + B)/(17 + B) = 1/2
=> 12 + 2B = 17 + B
=> B = 5
5 blue pens were Added to the box
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