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A dice is tossed two times. The number o...

A dice is tossed two times. The number of possible outcomes is

A

12

B

24

C

36

D

30

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AI Generated Solution

The correct Answer is:
To find the number of possible outcomes when a die is tossed two times, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Outcomes of a Single Die Toss:** - When a single die is tossed, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. 2. **Consider the Outcomes for Two Tosses:** - Since the die is tossed twice, we need to consider the outcomes for each toss independently. 3. **Calculate the Total Outcomes:** - For the first toss, there are 6 possible outcomes. - For the second toss, there are also 6 possible outcomes. - To find the total number of outcomes when tossing the die twice, we multiply the number of outcomes for the first toss by the number of outcomes for the second toss. \[ \text{Total Outcomes} = \text{Outcomes from First Toss} \times \text{Outcomes from Second Toss} = 6 \times 6 \] 4. **Perform the Multiplication:** - Calculate \(6 \times 6\): \[ 6 \times 6 = 36 \] 5. **Conclusion:** - Therefore, the total number of possible outcomes when a die is tossed two times is **36**.
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