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In a lot of 12 microwave ovens, there are 3 defective units. A person has ordered 4 of these units and since each is identically packed. What is the probability that : all units are good.

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In a lot of 12 microwave ovens, there are 3 defective units. A person has ordered 4 of these units and since each is identically packed. What is the probability that : exactly 3 units are good.

On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in Table 15.7 : Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is 6?

The number lock of a suitcase has 4 wheels, each labelled with ten digits i.e., from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase ?

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A conductor of capacity 4 units, charged with 100 units of positive charge is connected to another conductor of capacity 2 units, charged with 20 units of negative charge. What is the change in potential of each conductor ? What will be the charges of each of them after connection?

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A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on secnd machine. Each unit of product A is sold at Rs 7 profit and that of B at a profit of Rs 4. Find the production level per day for maximum profit graphically.

A company sells two different products A and B. The two products in a common production process which has a total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce to unti of B. the demand in the market shows that the maximum number of unit of A that can be sold is 70 that for B is 125. Profit on each unit of A is Rs.20 and that on B is Rs.15. How many units of A and B should be produced to maximize the profit? solve it graphically.

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs 5 profit and that of B at a profit of Rs 6. Find the production level per day for maximum profit graphically.

A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball? Is it more or less than getting a yellow ball?

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. A can solve 90% of the problems given in a book and B can solve only 7...

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  2. An anti-air craft gun can take maximum four at an enemy plane, moving ...

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  3. In a lot of 12 microwave ovens, there are 3 defective units. A person ...

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  4. In a lot of 12 microwave ovens, there are 3 defective units. A person ...

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  5. A card from a pack of 52 cards is lost. From the remaining cards of th...

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  6. A card from a pack of 52 playing cards is lost. From the remaining car...

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  7. A man is known to speak the truth 3 out of 4 times. He throws a die an...

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  8. Two bags contain : 4 red and 4 black. 2 red and 6 black balls One ball...

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  9. Two bags contain 6 red and 3 black, 5 red and 5 black balls. One ball ...

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  10. Two bags contain 6 red and 4 black, 3 red and 3 black balls. One ball ...

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  11. Bag I contains 3 red and 4 black balls while another Bag II contains 5...

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  12. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

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  13. A bag contains 4 red and 4 black balls, another bag contains 2 red and...

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  14. Bag I contains 3 red and 4 black balls, Bag II contains 5 red and 6 bl...

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  15. Bag I contains 5 red and 7 white balls and bag 11 contains 4 red and 8...

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  16. Give three identical boxes I , II and III, each containing two coins. ...

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  17. In a tape recorder factory, three machines A, B and C produced 50%, 30...

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  18. A motorcycle manufacturing company has two plants A and B. Plant A pro...

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  19. A motorcycle manufacturing company has two plants A and B. Plant A pro...

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  20. An insurance company insured 2000 scooters and 3000 motorcycles. The p...

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