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If a dice is thrown, then the probability of getting a 7 is___________ .

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To solve the question regarding the probability of getting a 7 when a dice is thrown, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find the probability of rolling a 7 with a standard six-sided dice. 2. **Identify Possible Outcomes**: A standard dice has the following faces: 1, 2, 3, 4, 5, and 6. Therefore, the possible outcomes when throwing a dice are: - 1 - 2 - 3 - 4 - 5 - 6 3. **Determine Favorable Outcomes**: We need to find out how many times we can get a 7 when rolling the dice. Since a standard dice only has numbers from 1 to 6, it is impossible to roll a 7. Thus, the number of favorable outcomes for rolling a 7 is: - Favorable outcomes = 0 4. **Total Outcomes**: The total number of outcomes when rolling a dice is 6, as there are 6 faces on the dice. 5. **Apply the Probability Formula**: The formula for probability is given by: \[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \] Substituting the values we have: \[ \text{Probability of getting a 7} = \frac{0}{6} \] 6. **Calculate the Probability**: \[ \frac{0}{6} = 0 \] 7. **Final Answer**: Therefore, the probability of getting a 7 when a dice is thrown is: \[ \text{Probability} = 0 \] ### Fill in the Blank: If a dice is thrown, then the probability of getting a 7 is **0**.
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Knowledge Check

  • If two dice are thrown, then the probability of getting same number on either dice is

    A
    `(1)/(6)`
    B
    `(1)/(3)`
    C
    `(2)/(9)`
    D
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