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A coin is tossed. If head comes up,  d...

A coin is tossed. If head comes up,  die is thrown but if tail comes up, the coin is tossed again. Find the probability of obtaining: (i) two tails (ii) head and number 6 (iii) head and an even number,

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To solve the problem, we will analyze the situation step by step. ### Step 1: Understand the Sample Space When a coin is tossed, there are two possible outcomes: Heads (H) or Tails (T). - If Heads (H) comes up, a die is thrown, which can result in any of the numbers {1, 2, 3, 4, 5, 6}. - If Tails (T) comes up, the coin is tossed again, which can again result in either Heads (H) or Tails (T). Thus, we can outline the possible outcomes: ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
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  2. One urn contains two black balls (labelled B1 and B2) and one white ...

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  3. A coin is tossed. If head comes up,  die is thrown but if tail comes...

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  4. Two dice are thrown simultaneously: Find the probability of its occu...

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  5. Three coins are tossed once. Find the probability of getting: all head...

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  10. A box contains 1 white and 3 identical black balls. Two balls are draw...

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  11. An experiment consists of rolling die until a 2 appears. (i)How many ...

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  13. From a group of 2 boys and 3 girls, two children are selected. Find th...

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  14. Consider the experiment in which a coin is tossed repeatedly until ...

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  15. A pair of dice is rolled. If the outcome is a doublet, a coin is tosse...

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  16. A die is thrown twice. Each time the number appearing on it is reco...

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  17. A card is picked up from a deck of 52 playing cards. What is the sampl...

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  18. In a large metropolitan area, the probabilities are 0.87,0.36,0.30 tha...

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  19. If Aa n dB are mutually exclusive events such that P(A)=0. 35a n dP(B...

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  20. A die is loaded in such a way that a way that each odd number is twice...

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