Question

a jar contains 12 marbles: 4 red, 5 blue,and 3 orange. if you pull 3 marble without replacement, what is probability of getting all three colors in the order of blue,orange,red ?what is the probability of getting all orange?​

Answer 1

Answer:

this question is too much hard.right?

Answer 2

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, the probability of getting all three colors in the order of blue, orange and red = 5/12 × 4/11 × 3/10 = 1/22.

For the second question,

For the first pull, the probability of getting an orange marble = 3/12.

For the second pull, the probability of getting an orange marble = 2/11.

For the third pull, the probability of getting an orange marble = 1/10.

Therefore, the probability of getting all orange

= 3/12 × 2/11 × 1/10

= 1/220.

Answer: 1/22 and 1/220