1.

Find the probability that when a hand of 7 cards is dealt from awell-shuffled deck of 52 cards, it contains (i) all 4 kings (ii) exactly 3kings (iii) at least 3 kings.

Answer» 1)P(7kings)=0
2)P(3 kings)=`(.^4C_3(.^48C_4)/(.^52C_7))=9/(17*7*13)`
3)P(`>=`3kings)=P(3 kings)+P(4kings)=
`=(.^48C_3*.^48C_4+.^4C__4*.^48C_3)/(.^52C_7)`.


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