Dhani has 4 cards numbered 1 through 4. He removes 2 cards at random and adds their values. What is the probability that the sum is less than or equal to 5?

Question

7/12
3/5 -------incorrect
3/4 --------incorrect
2/3
It's not 3/5 or 3/4.

Answer 1

The only picks that fit are
1 2, 2 1, 1 3, 3 1, 1 4 , 4 1, 2 3, 3 2

The prob(for each case) = (1/4)(1/3) = 1/12
the prob(your event) = 8/12 = 2/3