
To find: Probability that the third marble is green

Answer to Problem 56STP
Required probability
Explanation of Solution
Given information:
A bag contains
Marbles are drawn one at a time
First two are red and blue and not replaced .
Given
A bag contains
It means
Total number of marbles in bag
We know
Probability
Given
First two are red and blue and not replaced .
As out of available
So,
So, the probability that first marble to be red is
Now, After first marble taken from the bag there will be only
So,
And number of red marbles remaining in bag
Number of blue marbles in bag
And out of them we need to pick one blue marble
So,
Therefore,
The proability for the second marble to be blue is
After one red and one blue marbles taken from the bag
There will be
So,
And number of blue marbles remaining in bag
Given we need to pick the third marble and that needs to be green
Number of green marbles in bag
Therefore,
Probability for the third marble to be green is
Therefore,
Total probability for the third marble to be red given first two are red and not replaced is
Therefore,
Required probability
Chapter 13 Solutions
Algebra 2
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