Suppose I pick a jelly bean at random from a box containing eight red and four blue ones. I record the color and put the jelly bean back in the box. What is the probability of getting a blue jelly bean both times if I do this twice?

Step-by-step explanation:

Here, the total number of red beans  = 8

The total number of blue beans  = 4

The total beans in the bag  = 8 +  4  = 12 beans

Now, probability of picking first blue bean in FIRST ATTEMPT

As given, the picked bean in replaced inside the bag.

The probability of picking second  blue bean in SECOND ATTEMPT

So, the combined probability =  

Hence, probability of getting a blue jelly bean both times is .

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