A profit of Rs. 300 is made on class I ticket , and Rs. 800 is made on class II ticket. If x and y are the number of tickets of class I and class II sold, then the profit function is _______
Correct Answer - A
Let the number selected be xy. Then
`x+y=9,0lex,yle9`
`and xy=0impliesx=0,y=9or y=0,x=9`
`P(x_(1)=9//x_(2)=0)(P(x_(1)=9nnx_(2)=0))/(P(x_(2)=0))`
Now, `P(x_(2)=0)=19/100`
`andP(x_(1)=9nnx_(2)=0)2/100`
`impliesP(x_(1)=9//x_(2)=0)=(2//100)/(19//100)=2/19`
Correct Answer - B
The sum of the digits can be 7 in the following ways: `07,16,25,34,43,52,61,70.`
`therefore(A=7)={07,16,25,34,43,52,61,70}`
Similarly, `(B=0)={00,01,02...,10,20,30,...,90}`
Thus, `(A=7)nn(B=0)={09,70}`
`thereforeP((A=7)nn(B=0))=2/100,P((B=0))=19/100`
`P(A=7)|B=0=(P((A=7)nn(B=0)))/(P(B=0))`
`=(2/100)/(19/100)=2/19`
Correct Answer - D
Let X denote the largest number on the 3 sticks drawn. Then, `P(Xle7)=(7//20)^(3)and P(Xle6)=(6//20)^(3).` Then, the required probability is
`P(X=7)=((7)/(20))^(3)-((6)/(20))^(3)`
Correct Answer - A
`S={00,01,02,....,49}`
Let A be the event that the sum of the digits on the selected ticket is 8. Then
`A={08,17,26,35,44}`
Let B be the event that the...
Correct Answer - A
`(a)` `1234ul(5678910)`
`1^(st)` drawn is `5`, then `2^(nd)` drawn can be `1` only. If `1^(st)` is `6`, then `2^(nd)` is `1` or `2` and so on. ltbr...