Suppose that two.integers from the set of 8 integrs {1,2,3....8} are chosen at random. Find the probability that i. both numbers match. ii. Sun of the two numbers picked is less than 4?
+23252 I will assume that they are chosen "with replacement" -- which means that after the first number is chosen, it is put back into the set so that it has a possibility of being chosen again.
i) Once the first number is chosen, the probability that the second number matches the first number is 1/8.
ii) There are 8 possibilities for the first number and 8 possibilities for a total of 8 x 8 = 64 possibilities.
Of these possibilities, 1,1 1,2 2,1 are the only ones that have a sum less than 4: 3/64.
