A random experiment was conducted where Person A rolled two dice and recorded the product of the two dice. (Example: if "4" and "3" came up, he recorded "12" since 3*4 = 12). Answer the questions (either by direct computation or using simulations; use 10000 long columns).

I) What is the probability that the person observes the number "1"? (6.66 points)

• a. 1/6
• b. 1/12
• c. 1/36
• d. Not possible to determine

II). What is the probability that the person obtains the number "5" or "6"? (6.66 points)

• a. About 3%
• b. About 8%
• c. About 12%
• d. About 17%

III) Which of the following numbers has the highest probability to be the outcome? (6.66 points)

• a. number "5"
• b. number "6"
• c. number "10"
• d. number "15"