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Find the probability of getting head in a toss of one coin:

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To find the probability of getting a head in a toss of one coin, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Sample Space**: When we toss a coin, there are two possible outcomes: Heads (H) and Tails (T). Therefore, the sample space (S) can be represented as: \[ S = \{H, T\} \] 2. **Count the Total Outcomes**: The total number of outcomes in the sample space is 2, since there are two possible results when tossing a coin. 3. **Identify the Favorable Outcomes**: We are interested in the event of getting a head. In the sample space, the favorable outcome for getting a head is: \[ \text{Favorable Outcomes} = \{H\} \] Thus, the number of favorable outcomes is 1. 4. **Calculate the Probability**: The probability (P) of an event is calculated using the formula: \[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \] Substituting the values we found: \[ P(\text{Getting Head}) = \frac{1}{2} \] 5. **Final Answer**: Therefore, the probability of getting a head when tossing a coin is: \[ \frac{1}{2} \]
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NAGEEN PRAKASHAN ENGLISH-PROBABILITY-Exercise
  1. Find the probability of getting head in a toss of one coin:

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  2. A bag contains a red ball, a blue ball and a yellow ball, all the b...

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  3. A bag contains 3 white, 5 black and 2 red balls all of the same shape ...

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  4. Two coins are tossed simultaneously. Find the probability of getting: ...

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  5. Shalu buys a fish from a shop for her aquarium. The shopkeeper takes o...

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  6. In a single throw of a die, find the probability of getting a number :...

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  7. A letter of English alphabet is chosen at random. Determine the pro...

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  8. If the probability of Sayna winning a badminton match is 0.81, what is...

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  9. Two friend were born in the same year, what is the probability that th...

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  10. In a single throw of a die find the probability that the number : (i...

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  11. It is known that a box of 200 electric bulbs contains 16 defective bul...

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  12. (i) If A and B are two complementary events then what is the relation ...

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  13. 17 cards numbered 1, 2, 3,...., 17 are put in a box and mixed thoro...

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  14. Which of the following cannot be the probability of an event : (i) (...

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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. In a family of 3 children the probability of having at least one boy i...

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  17. A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from ...

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  18. A book contains 85 pages. A page is chosen at random. What is the prob...

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  19. Which of the following cannot be the probability of an event : (A) 2...

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  20. Two dice are thrown at the same time. Write down the possible outcomes...

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