Question

Two dice were rolled. Answer the questions:

I) What is the probability that the first die will have a number “3” as the outcome? (10 points)

• a. 1/5
• b. 1/2
• c. 1/6
• d. 1/36
• e. None of the above

II) What is the probability that the first die will have “an odd number” as the outcome? (10 points)

• a. 1/5
• b. 1/2
• c. 1/6
• d. 1/36
• e. None of the above

III) What is the probability that the sum of the two dice equal to 10? (10 points)

• a. 1/18
• b. 1/12
• c. 1/36
• d. 1/9
• e. None of the above

Answer 1

i) The probability that the first die will have a number “3” as the outcome

since there are 6 possible outcomes and number "3" is one of them.

ii) The probability that the first die will have “an odd number” as the outcome

since there are 6 possible outcomes and there are 3 odd numbers {1,3,5}

iii) Favorable sample points are { (5,5), (4,6), (6,4) }

Total number of possible points = 6² = 36

The probability that the sum of the two dice equal to 10