Probability Let W(x) be the number of 1's in the binary representation of x. For example, W(5) = W(001012) = 2 because there are 2 1's in the binary representation of 5. This is sometimes called the weight of the binary number. A deck of 32 cards has numbers 0 to 3110 written in 5-bit binary (000002...111112). 5. What is the probability that the total weight of the three cards you were dealt is equal to 13? You may leave your answer as a simple expression