"Divisible by 2" means that the 4-digit number is even.Mr.A has 13 cards of the same suit.
He withdraws 4 cards from it and makes a number using the digits in the units place of each chosen card,
That is: .Ace = 1, Deuce = 2, Trey = 3, . . . Ten = 0, Jack = 1, Queen = 2, King = 3.
What is the probability that he can form a number that is divisible by 2?
There are: 7 odd digits and 6 even digits.
He can make an even number if at least one digit is even.
He will fail of all four digits are odd.
. . There are: . ways to get 4 odd digits.
. . . . There are: . possible outcomes.
. . Hence: .