SOLUTION: a deck of 20 cards is numbered 1 through 20 if two cards are selected at random without replacement what is the probability that both are even

Question 870902: a deck of 20 cards is numbered 1 through 20 if two cards are selected at random without replacement what is the probability that both are even
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are 10 even cards (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) out of 20 total. So the probability that you pick an even card is 10/20 = 1/2.

On the second draw, you have 10-1 = 9 even cards left out of 20-1 = 19 cards total. So the probability of drawing another even card is 9/19.

Multiply them together: (1/2)*(9/19) = 9/38

================================================================

Final Answer: the probability that both are even is (this is WITHOUT replacement)
RELATED QUESTIONS
Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys,... (answered by stanbon)

Two cards are selected at random (without replacement) from a deck of 52 cards.what is... (answered by checkley77)

Five cards are numbered 0 through 4. Two are selected without replacement. What is the... (answered by swincher4391,ewatrrr)

Suppose two cards are selected at random from a deck of 52 cards what is the probability... (answered by FrankM)

if three cards are selected at random from a standard deck of 52 cards without... (answered by Boreal)

Can someone please with this one. A board game uses the deck of 20 cards shown. 4 rows... (answered by ccs2011)

if three cards are selected at random from a standard deck of 52 cards without... (answered by solver91311)

One deck of cards consists of six cards numbered 1 through 6, and a second deck consists (answered by Fombitz)