SOLUTION: A girl and boy are playing a game that consists of ten different numbered cards that are face down on a table. The faces of the cards are labeled using the numerals 1-10 (each card

Question 516297: A girl and boy are playing a game that consists of ten different numbered cards that are face down on a table. The faces of the cards are labeled using the numerals 1-10 (each card is numbered differently). If each person turns over a different card, what is the probability that the sum of the two cards is even?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A girl and boy are playing a game that consists of ten different numbered cards that are face down on a table. The faces of the cards are labeled using the numerals 1-10 (each card is numbered differently). If each person turns over a different card, what is the probability that the sum of the two cards is even?
================================================
The sum will be even if either both are even or both are odd.
The probability that both cards are odd is:
P(both odd) = 5/10*4/9 = 20/90
The probability that both are even is:
P(both even) = 5/10*4/9 = 20/90
So the total probability that the sum is even is the sum of the individual probabilities:
P(sum even) = 20/90 + 20/90 = 4/9
RELATED QUESTIONS
Two students, Katie and Carly, are playing a game that uses ten different numbered cards... (answered by stanbon)

Four cards with "girl" printed on them and five cards with "boy" printed on them are... (answered by stanbon)

You have a deck of 52 playing cards with 13 spades, 13 diamonds, 13 hearts, and 13... (answered by lynnlo)

A game uses 26 playing cards. Playing cards have four suits - diamonds (♢), clubs... (answered by Edwin McCravy)

A game has 6 cards numbered 3,2,7,5,4,and 6. The cards are shuffled face down before... (answered by solver91311)

Nine playing cards are laid out on a table. They are all Clubs numbered from 2 to 10.... (answered by Cromlix)

Find the number of playing cards in a standard deck of 52 cards that are either face... (answered by Boreal)

Connie and Curtis are playing a game by rolling two number cubes with faces numbered 1... (answered by ewatrrr,stanbon)

A player draws one card from a special deck of 27 playing cards shown here. The deck,... (answered by solver91311)