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A die is rolled. Find the probability of...

A die is rolled. Find the probability of getting:
a 6.

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To find the probability of getting a 6 when a die is rolled, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Sample Space**: When a die is rolled, the possible outcomes are the numbers that can appear on the die. The outcomes are: \[ \{1, 2, 3, 4, 5, 6\} \] Therefore, the total number of outcomes (sample space) is 6. 2. **Identify the Favorable Outcomes**: We need to find the probability of getting a 6. The favorable outcome for this event is just one number: \[ \{6\} \] So, there is only 1 favorable outcome. 3. **Calculate the Probability**: The probability \( P \) of an event is given by the formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] Substituting the values we have: \[ P(\text{getting a 6}) = \frac{1}{6} \] 4. **Final Answer**: Thus, the probability of rolling a 6 on a die is: \[ \frac{1}{6} \]
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ICSE-PROBABILITY-EXERCISE 19.1
  1. A die is rolled. List the outcomes of the event A if: A is the even...

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  2. A die is rolled. List the outcomes of the event A if: A is the even...

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  3. A die is rolled. Find the probability of getting: a 6.

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  4. A die is rolled. Find the probability of getting: a multiple of 3.

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  5. A die is rolled. Find the probability of getting: a multiple of 4.

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  6. A dice is rolled. Find the probability of getting: a number which i...

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  7. A die is rolled. Find the probability of getting: a composite numbe...

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  8. A die is rolled. Find the probability that: a number less than 4 sh...

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  9. A die is rolled. Find the probability that: a number more than 4 s...

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  10. A die is rolled. Find the probability that: a number greater than o...

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  11. A die is rolled. Find the probability that: a number less than equa...

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  12. A die is rolled. Find the probability that: a number divisible by 2...

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  13. A card is drawn from a pack of 52. Find the probability that: it is...

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  14. A card is drawn from a pack of 52. Find the probability that: it is...

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  15. A card is drawn from a pack of 52. Find the probability that: it is...

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  16. A card is drawn from a pack of 52. Find the probability that: it is...

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  17. A card is drawn from a pack of 52. Find the probability that: it is...

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  18. A bag contains 5 red and 8 green marbles. One marble is drawn from the...

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  19. A bag has 10 green, 5 white, and 4 green balls. One ball is drawn at r...

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  20. Your team along with other two teams are participating in a debrate co...

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