
To find: Probability that the third marble is red

Answer to Problem 57STP
Required probability
Explanation of Solution
Given information:
A bag contains
Marbles are drawn one at a time
First two are red and not replaced .
Given
A bag contains
It means
Total number of marbles in bag
We know
Probability
Given
First two are red 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
And out of them we need to pick one red marble
So,
Therefore,
The proability for the second marble to be red is
After two red marbles taken from the bag
There will be
So,
And number of red marbles remaining in bag
Given we need to pick the third marble and that needs to be red
Therefore,
Probability for the third marble to be red 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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Pre-Algebra Student Edition
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