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In one throw of a dice, find the probabi...

In one throw of a dice, find the probability of getting:
(i) an even number
(ii) a multile of 3
(iii) a number greater than 4

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The correct Answer is:
To solve the problem, we will calculate the probabilities for each of the specified events when throwing a dice. ### Step-by-Step Solution: 1. **Total Outcomes**: When a dice is thrown, the total number of possible outcomes is 6. These outcomes are: {1, 2, 3, 4, 5, 6}. 2. **(i) Probability of getting an even number**: - The even numbers on a dice are: {2, 4, 6}. - Count of even numbers = 3. - Probability of getting an even number (E) = Number of favorable outcomes / Total outcomes = 3 / 6 = 1 / 2. 3. **(ii) Probability of getting a multiple of 3**: - The multiples of 3 on a dice are: {3, 6}. - Count of multiples of 3 = 2. - Probability of getting a multiple of 3 (M) = Number of favorable outcomes / Total outcomes = 2 / 6 = 1 / 3. 4. **(iii) Probability of getting a number greater than 4**: - The numbers greater than 4 on a dice are: {5, 6}. - Count of numbers greater than 4 = 2. - Probability of getting a number greater than 4 (G) = Number of favorable outcomes / Total outcomes = 2 / 6 = 1 / 3. ### Final Answers: - (i) Probability of getting an even number = 1/2 - (ii) Probability of getting a multiple of 3 = 1/3 - (iii) Probability of getting a number greater than 4 = 1/3

To solve the problem, we will calculate the probabilities for each of the specified events when throwing a dice. ### Step-by-Step Solution: 1. **Total Outcomes**: When a dice is thrown, the total number of possible outcomes is 6. These outcomes are: {1, 2, 3, 4, 5, 6}. 2. **(i) Probability of getting an even number**: ...
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NAGEEN PRAKASHAN ENGLISH-PROBABILITY-EXERCISE
  1. In one toss of two coins together find the probability of getting: ...

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  2. In one toss of three coins together, find the probability of getting: ...

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  3. In one throw of a dice, find the probability of getting: (i) an even...

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  4. In one throw of two dice together, find the probability of getting: ...

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  5. In one throw of three dice together, find the probability of getting: ...

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  6. A card is drawn from a well shuffled pack of cards. Find the probabi...

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  7. There are two children in a family. Find the probability that at most ...

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  8. There are 7 red, 5 black and 3 white balls in a bag. A ball is drawn a...

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  9. There are 12 tickets numbered 1 to 12. A ticket is drawn at random. Fi...

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  10. The probability of the occurrence of an event is 3/8. Find the probabi...

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  11. The probability of non-occurrence of an event is 5/12. Find the probab...

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  12. The odds in favour of an event are 3:4. Find the probability of the no...

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  13. The odds against of an event 5:3. Find the probability of the occurren...

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  14. There are 15 prizes and 25 blaks in a lottery. Find the probability of...

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  15. Two dice are thrown. Find the odds in favour of getting the sum 4.

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  16. Two letters are drawn from the english alphabets. Find the probabil...

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  17. A and B are two events such that P(A)=0.5, P(B)=0.4 and (A "or"B)=0.6,...

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  18. A and B are two events such that P(A)=0.60, P(A"or"B)=0.85 and P (A an...

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  19. (i) A and B are two events in a random experiment such that P(AuuB)=0....

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  20. For two mutually exclusive events A and B , P(A)=1/3 and P(B)=1/4, fi...

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