A jar contains 12 marbles: 4 red, 5 blue, and 3 orange. If you pull 3 marbles without replacement, what is the probability of getting all three colors in the order of blue, orange, red? What is the probability of getting all orange?
Answers
Given: Total number of marbles in the jar
=12
Number of red marbles =4
Number of blue marbles =5
Number of orangle marbles = 3
3 marbles are pulled out without replacement.
To find: The probability of getting all three colors in the order of blue, orange and red
The probability of getting all orange
Solution: For the first question, we need to find the probability of pulling a blue marble out of 12 marbles.
So the probability of pulling a blue marble =5/12.
Now since we are not replacing the marble, we have to find the probability of pulling a orange marble out of 11 marbles.
So the probability of pulling a red marble =4/11 .
Now, the probability of pulling an orange marble out of 10 marbles =3/10 .
Therefore e, the probability of getting all three colors in the order of blue, orange
For the second question,
For the first pull, the probability of getting an orange rble = 3/12 .
For the second pull, the probability of getting an orange Je = 2/11 .
For the third pull, the probability of getting an orange Jle = 1/10 .
Therefore, the probability of getting all orange
=3/12*2/11*1/10
=1/220
Answer: 1/22 and 1/220
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