Question

The numbers 2,3,5, 6 are written on four tiles and placed in a bag. You draw a tile and replace it back in the bag. A second tile is withdrawn. What is the probability that the difference of the two numbers is 2?

Answer 1

Answer:  1/8

Explanation:

The only way to get a difference of 2 is to draw a "3" and then a "5" in either order.

The probability of selecting any tile is 1/4. The probability of selecting two particular tiles in a row is (1/4)*(1/4) = 1/16 since we replaced the first tile selected.

2*(1/16) = 1/8 represents the probability of selecting a 3 and 5 in either order.