The accompanying figure shows the 36 equally likely outcomes when two balanced d

Question

The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. Outcomes of Two Balanced Dice a. Determine the probability that the sum of the dice is 3. The probability that the sum of the dice is 3 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Deterine the probability that the sum of the dice is even. The probability that the sum of the dice is even is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 5 or 9 The probability that the sum of the dice is 5 or 9 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 2, 8, or 12. The probability that the sum of the dice is 2, 8, or 12 is (Type an integer or a decimal. Round to three decimal places as needed.)

Explanation / Answer

a) P(sum of dice is 3) = 2/36 = 0.056

b) P(sum of dice is even) = 18/36 = 0.5

c) P(sum of dice is 5 or 9) = P(sum of dice is 5) + P(sum of dice is 9)

                                          = 4/36 + 4/36

                                          = 0.222

d) P(sum of dice is 2, 8 or 12) = P(sum of dice is 2) + P(sum of dice is 8) + P(sum of dice is 12)

                                                = 1/36 + 5/36 + 1/36

                                                = 0.194

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