Cynara has a bag of red, blue, and black pens. she randomly selects a pen, records the color, and puts it back in the bag, she does this a total of 30 times and selects 6 red pens, 10 blue pens, and 14 black pens. based on this information, what is the probability that cynara will select a blue pen, return it to the bag, and then select a red pen?

The probability that Cynara will select a blue pen, return it to the bag, and then select a red pen is .

Given that,

Based on the above information, the calculation is as follows:

Here we have to divide the no of times from the total times she picked the pen.

So,  

Red = reduces to

Blue = reduces to

Black = reduces to

Now

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Divide the number of times she picked a color by the total times she picked a pen:

Red = 6/30 reduces to 1/5

Blue = 10/30 reduces to 1/3

Black = 14/30 reduces to 7/15

The probability of picking a blue pen , then a red pen is found by multiplying the two possibilities together:

1/3 x 1/5 = 1/15

There is a 1/15 probability.

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