Question
5. Lila rolls a number cube, with sides labeled 1 through 6, two times. The first time she gets a 3 . List all the possible outcomes of Lila's two rolls.
Ask by Perkins Rodriguez. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The possible outcomes are:
- (3,1)
- (3,2)
- (3,3)
- (3,4)
- (3,5)
- (3,6)
Solution
1. Since the first roll is already determined as \(3\), the outcome of the first roll is fixed.
2. The second roll is taken from a number cube with sides labeled \(1\) through \(6\). Thus, the possible outcomes for the second roll are: \(1, 2, 3, 4, 5,\) and \(6\).
3. Combining the result of the first roll with each possible outcome of the second roll, we have the following pairs representing the two rolls:
- \((3, 1)\)
- \((3, 2)\)
- \((3, 3)\)
- \((3, 4)\)
- \((3, 5)\)
- \((3, 6)\)
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Simplify this solution The Deep Dive
When Lila rolls the number cube a second time, she can achieve any of the six sides, ranging from 1 to 6, for the second roll. Since the first roll resulted in a 3, the complete list of possible outcomes for both rolls, including the first roll, would be: 1. (3, 1) 2. (3, 2) 3. (3, 3) 4. (3, 4) 5. (3, 5) 6. (3, 6) So there you have it! Lila's first roll is a fixed 3, and she can easily pair it with any of the 6 possible results from her next roll! Isn’t that a fun way to explore combinations?
