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.

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this