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

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) (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

RELATED QUESTIONS
You pick a card at random. Without putting the first card back, you pick a second card at (answered by Alan3354)

You have a standard deck of 52 cards you pick one card from the deck and then without... (answered by ewatrrr)

You pull two cards, one at a time, from a deck of cards, without replacement. What is the (answered by greenestamps)

If you pick a card at random from a well shuffled deck, what is the probability that you (answered by solver91311)

you pick a card at random from a standard deck of cards. What is the probability that it (answered by rfer)

You select a card at random. Without replacing the card, you select a second card. Find (answered by FrankM)

Two cards are selected at random from a deck of card. What is the probability that the... (answered by math_helper)

A set of 20 cards is numbered 1,2,3,...,20. Suppose you pick a card at random without... (answered by reviewermath)

a set of 12 cards is numbered 1,2,3...,12. suppose you pick a card at random without... (answered by robertb)