In the above problem, what is the probability
of pulling out a red marble in the first case,
not replacing it and pulling out a purple
marble in the second case?
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Answer:
Total number of marbles=2+9+18+10+7=46
The probability of pulling out a red marble in the 1st case= 2/46=1/23
Now that one marble has been pulled out, total number of marbles=45
Then probability of pulling out a purple marble in the 2nd case= 10/45=2/9
So the probability of pulling out a red marble in the first case and not replacing it and pulling out a purple marble in the 2nd case= 1/23 * 2/9
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