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A dice is thrown then find the probabili...

A dice is thrown then find the probability that 7 will turn up on the upper faces.

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To solve the problem of finding the probability that a 7 will turn up on the upper face when a die 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 on a standard six-sided die. 2. **Identify the Total Outcomes**: A standard die has six faces, numbered from 1 to 6. Therefore, when we throw the die, the total number of possible outcomes is 6. \[ \text{Total Outcomes} = 6 \] 3. **Identify the Favorable Outcomes**: We need to determine how many outcomes are favorable for rolling a 7. Since a standard die only has the numbers 1, 2, 3, 4, 5, and 6, there are no faces with the number 7. \[ \text{Favorable Outcomes} = 0 \] 4. **Apply the Probability Formula**: The probability \( P \) of an event is given by the formula: \[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \] Substituting the values we found: \[ P(7) = \frac{0}{6} = 0 \] 5. **Conclusion**: The probability of rolling a 7 on a standard die is 0. ### Final Answer: The probability that 7 will turn up on the upper face when a die is thrown is **0**. ---
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Knowledge Check

  • If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast 5 is

    A
    `(1)/(53)`
    B
    `(53)/(54)`
    C
    `(1)/(54)`
    D
    `(52)/(53)`
  • If three dices are thrown then the probability that the sum of the numbers on their uppoermost faces to be atleast 5 is

    A
    `(1)/(53)`
    B
    `(53)/(54)`
    C
    `(1)/(54)`
    D
    `(52)/(53)`
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