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# One card is drawn at random from a well-shuffled deck of 52 plagying cards. Find the probability that the card drawn is neither a red card nor a queen.

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Solution :
Total number of all possible outcomes = 52. <br> (i) Let `E_(1) ` be the event of getting a red card or a king. <br> There are 26 red cards (including 2 kings) and there are 2 more kings.<br> So, the number of favourable outcomes = ` 26+ 2 = 28`. <br> `:. ` P(getting a red card or a king) ` = P(E_(1)) = 28/52 = 7/ 13`. <br> (ii) Let `E_(1)` be the event of getting a card which is neither a red card nor a queen. <br> There are 26 red cards (including 2 queens) and there are 2 more queens. So, the number of non-favourable outcomes = 26+2 = 28. <br> `:. ` the number of favourable outcomes = 52 - 28 = 24. <br> `:. ` P(getting neither a red card nor a queen) = ` 24/ 52 = 6/ 13`.

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