Numbered cards from 1 to 10 are placed in a bag. If two cards are randomly selected, what is the probability that the cards drawn are even or odd

Answer 1

5 even and 5 odd

P(E) = 1/2, P(O)=1/2

on 2nd draw P(EE) = (1/2)(4/9) = 4/18

P(OO) = (1/2)(4/9) = 4/18

P(EO) = (1/2)(5/9) = 5/18

P(OE) = (1/2)(5/9) = 5/18

P(both EE or both OO) = 8/18 = 4/9 =about 44%

P(EO or OE, where one is even and the other odd) = 10/18 = 5/9 = about 56%