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7) Three cardb are drawen from an ordin ry 52 dech of cards ui thout replaremant (drawn cards are not plaed in to thedeck). Find probobility that1) nene of 3 cards is heartii) the 3 cards are non-heate-, heart, heart (in thatorder)iii) first 2 cards are non-heart and third in heart.iv) cthe cards contain one heart and 2 -non-heart. |
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Answer» H=hearts, O=other (non-hearts) "HHH", "HOH","OHH","HHO" For "HHH", there are 13*12*11=1716 ways. For "HOH" there are 13*39*12=6084 ways. For "OHH" there are 39*13*12 =6084 ways For "HHO" there are 13*12*39 = 6084 ways. So we have 1716+(3*6084)=19968 ways in total. As mentioned, out of those, 1716 are of type "HHH", so the probability amounts to 1716/19968. |
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