Two cards are drawn from a well shuffled pack of 52 cards. The probability that one is heard card and the other is a king is p, then the value of 104p is____.
Correct Answer - 4
Let event A:Card is of heart but not king (12 cards) Event B: King but not here (3 cards)
Event C: Heart and king (1 card)
`therefore` Required probability
`p=P(E)=(""^(12)C_(1)""^(3)C_(1)+""^(3)C_(1).""^(1)C_(1)+""^(1)C_(1).""^(12)C_(1))/(""^(52)C_(2))=2/52therefore104p=4`
Here, S={(1,2),(2,1),(1,3),(3,1),(2,3),(3,2),(1,4),(4,1),(1,5),(5,1),(2,4),(4,2),(2,5),(5,2),(3,4),(4,3),(3,5),(5,3),(5,4),(4,5)}
`rArrn(S)=20`
Let random variable variable be X which denotes the sum of the numbers on two cards drawn.
X=3,4,5,6,7,8,9
At X=3,P(X)=`2/20=1/10`
At X=4,P(X)`=2/10=1/10`
At X =5,P(X)=`4/20=1/5`
At X=6,...
Correct Answer - `({26!}^(4))/({13!}^(4)xx52!)`
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`P(A_(1))=1/4,P(A_(2))=3/4`
Let A be the event that...
Correct Answer - C
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Let even A be drawing 9 cards which are not ace and B ve drawing an ace card. Therefore, the required probability is `P(AnnB)=P(A)xxP(B)`
Now, there are...
