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One card is drawn from a pack of 52 card...

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is: an ace(ii) red  (iii) either red or king (iv) red and a king.

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To solve the problem, we will calculate the probabilities for each of the specified events step by step. ### Step 1: Define the Sample Space The sample space \( S \) consists of all the cards in a standard deck. There are 52 cards in total. ### Step 2: Probability of Drawing an Ace Let event \( A \) be the event that the card drawn is an Ace. ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
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  8. Two dice are thrown simultaneously: Find the probability of its occu...

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

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  10. In a lottery of 50 tickets numbered 1 to 50, two tickets are drawn ...

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  11. Four cards are drawn at random from a pack of 52 playing cards. Find ...

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  12. A sample space consists of 9 elementary event E1, E2, E3 ..... E8, E9 ...

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  13. In a random sampling three items are selected from a lot. Each item is...

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

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

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  16. From a group of 2 boy and 3 girls, two children are selected at random...

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

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

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

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

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