Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A foursided die has faced with numbers 1, 2, 3, or 4 appearing at the bottom of each visibleface.

Suppose the strength of a character in a game is determined by rolling a foursided die twice and adding 2 to the sum of the numbers. Give a probability model (sample space and probabilities of outcomes) for the character'sstrength.

What is the probability that the strength of a character is 13, (strength of a character = 13)? P(strength of a character = 13)?

(strength of a character=13)=