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Equally Likely Events

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A coin is tossed twice and all 4 outcomes are equally likely .Let A be the event that first throw results in a head and B be the event that second throw results in a tail , then show that the events A and B are independent .

Let A and B be two events such that p( bar AuuB)=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Each of the three children in a family is equally likely to be a boy or a girl independent of the others. Define the events E: "all the children in the family are of the same sex F: "there is at most one boy in the family" G: "the family includes a boy and a girl" Then

PEARSON IIT JEE FOUNDATION-STATISTICS-TEST YOUR CONCEPTS (Very Short Answer Type Questions)
  1. The middle value of a data, when it is arranged in ascending or descen...

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  2. Directions for questions : Fill in the blanks. The definition of fre...

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  3. Equally Likely Events

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  4. Directions for questions : Fill in the blanks. If a dice is thrown, ...

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  5. The mode of a data is .

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  6. The central angle of a component in a pie chart is .

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  7. Directions for questions : Fill in the blanks. The graphs drawn for...

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  8. Directions for questions : Fill in the blanks. When two coins are to...

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  9. Directions for questions : These questions are based on the following ...

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  10. Directions for questions : These questions are based on the following ...

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  11. Directions for questions : These questions are based on the following ...

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  12. Directions for questions : These questions are based on the following ...

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  13. Directions for questions : These questions are based on the following ...

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  14. There are 10 cards numbered from 1 to 10 in a box. If a card is drawn ...

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  15. The mode of the data 48, 45, 49, 51, 46, 48, 47, 49, 48, and 51 is .

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  16. When a dice is rolled, find the probability of getting 4.

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  17. The range of 12 observations is 60. If the least observation is 90, th...

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  18. Find the median of the data 35, 28, 49, 56, 79, 81, 73 and 80.

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  19. There are 20 marbles in a box which are marked with distinct numbers f...

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  20. The mode of the data 35, 25, 26, 33, 31, x, and 30 is 26, then x is .

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