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A bag contains 5 red marbles and 3 black...

A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that at least one of the three marbles drawn be black, if the first marble is red?

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To solve the problem step by step, we will calculate the probability that at least one of the three marbles drawn is black, given that the first marble drawn is red. ### Step 1: Understand the problem We have a bag with: - 5 red marbles - 3 black marbles We are drawing 3 marbles one by one without replacement. We need to find the probability that at least one of the three marbles drawn is black, given that the first marble drawn is red. ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A bag contains 5 white, 7 red and 8 black balls. If four balls are ...

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  2. Bag A contains 4 red and 5 black balls and bag B contains 3 red and 7 ...

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  3. A bag contains 5 red marbles and 3 black marbles. Three marbles are ...

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  4. Two cards are drawn from a well shuffled pack of 52 cards without r...

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  5. Two cards are drawn without replacement from a well shuffled pack of 5...

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  6. A bag contains 5 white and 3 black balls. Four balls are successively ...

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  7. Cards are numbered 1 to 25. Two cards are drawn one after the other. ...

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  8. Two dice are thrown together and the total score is noted. The event E...

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  9. Find the minimum value of f(x)=pi^2/(16 cot^-1 (-x)) - cot^-1 x

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  10. A bag contains 4 white and 2 black balls. Another contains 3 white and...

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  11. A box contains 3 red and 5 blue balls. Two balls are drawn one by one ...

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  12. Twelve balls are distributed among three boxes, find the probability ...

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  13. What is the probability that four 'S' comes consecutively in the word ...

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  14. A basket contains 20 apples and 10 oranges out of which 5 apples and 3...

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  15. The probability that a person will get an electric contact is 2/5 and ...

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  16. Let A ,B ,C be three events. If the probability of occurring exactly ...

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  17. For the three events A, B and C, P(exactly one of the events A or B oc...

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  18. The probabilities that a student passes in Mathematics,Physics and Che...

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  19. A die is thrown twice and the sum of the numbers appearing is observed...

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  20. Determine P (E|F)in :Two coins are tossed once, where(i) E: tail appe...

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