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Complete the following statements : Th...

Complete the following statements :
The probability of an event that cannot happen is _______ Such an event is called

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To complete the statements, we will analyze the concepts of probability related to events that cannot happen. ### Step-by-Step Solution: 1. **Understanding Probability**: - Probability is a measure of the likelihood of an event occurring. It is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. 2. **Identifying the Event**: - An event that cannot happen means there are no favorable outcomes for that event. For example, if we are rolling a standard die, the event of rolling a 7 is impossible because a die only has numbers 1 through 6. 3. **Calculating the Probability**: - The probability of an event is given by the formula: \[ P(E) = \frac{n(E)}{n(S)} \] where \( n(E) \) is the number of favorable outcomes for the event, and \( n(S) \) is the total number of possible outcomes. 4. **Applying to Impossible Events**: - For an impossible event, \( n(E) = 0 \) because there are no outcomes that can satisfy the event. Therefore, the probability becomes: \[ P(E) = \frac{0}{n(S)} = 0 \] 5. **Defining the Event**: - An event that has a probability of 0 (cannot happen) is referred to as an "impossible event". ### Final Statements: - The probability of an event that cannot happen is **0**. - Such an event is called **impossible event**.
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OSWAL PUBLICATION-PROBABILITY-NCERT CORNER ( Exercise-15.1)
  1. Probability of an event E + probability of the event not E is equal to...

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  2. Complete the following statements : The probability of an event that...

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  3. The probability of an event that is certain to happen is ................

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  4. The sum of probabilities of all the elementary events of an experiment...

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  5. The probability of an event is greater then or equal to ………… and less ...

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  6. Which of the following experiments have equally likely outcomes? Expla...

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  7. Which of the following experiments have equally likely outcomes? Expla...

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  8. Which of the following experiments have equally likely outcomes? Expla...

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  9. Which of the following experiments have equally likely outcomes? Expla...

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  10. Why is tossing a coin considered to be a fair way of deciding which ...

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  11. Which of the following cannot be the probability of an event ?

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  12. If P(E)=0. 05 P(E) = 0.05, what is the probability of not E?

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  13. A bag contains lemon flavoured candies only. Malini takes out one c...

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  14. It is given that in a group of 3 students, the probability of 2 stu...

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  15. A bag contains 3 red balls and 5 black balls. A ball is drawn at rando...

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  16. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One...

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  17. A piggy bank contains hundred 50p coins, fifty Rs. 1 coins, twenty ? ...

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  18. Gopi buys a fish from a shop for his aquarium. The shopkeeper takes...

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  19. A game of chance consists of spinning an arrow which comes to rest poi...

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  20. A dice is thrown once. Find the probability of getting a prime number ...

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