Questions: If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained? The sum of the two dice is less than 5. A. 4 ways B. 10 ways C. 6 ways D. 5 ways

Sum = 2: The only combination is (1, 1).
Sum = 3: The combinations are (1, 2) and (2, 1).
Sum = 4: The combinations are (1, 3), (2, 2), and (3, 1).

If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained? The sum of the two dice is less than 5. A. 4 ways B. 10 ways C. 6 ways D. 5 ways

Transcript text: If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained? The sum of the two dice is less than 5 . A. 4 ways B. 10 ways C. 6 ways D. 5 ways

Solution

Solution Steps

Step 1: Identify Possible Outcomes

When two dice are rolled, each die has 6 faces, resulting in a total of \(6 \times 6 = 36\) possible outcomes. We need to find the number of outcomes where the sum of the two dice is less than 5.

Step 2: List Combinations for Each Sum

We consider the possible sums less than 5: 2, 3, and 4.