SOLUTION: You pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking an even number and then picking an even nu

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Question 1160465: You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.

The question is provided in the link: https://i.imgur.com/F1PHJzI.png
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 twos, 4 fours, 4 sixes, 4 eights, and 4 tens. That's all the even
cards.

That's 4∙5 or 20 ways, so the probability that you drew an even card on the first
draw is 20 ways out of 52 ways, or 20/52 probability that you drew an even card on
the first draw. That reduces to 5/13.

For each of the times you drew an even card first, there will be only a deck of 51
cards that contains only 19 even cards.  That probability is 19/51.

So the desired probability is (5/13)(19/51) = 95/663 = 0.1432880845 or about
14.3%.

Edwin