A box contains 50 tickets. Each ticket is numbered from 1 to 50. One ticket is selected at random, find the probability that the number on the ticket is not a perfect square.
1 Answers
Talk Doctor Online in Bissoy App
One ticket is selected at random from 100 tickets numbered 00,01,02,...,98,99. If `x_1, a n dx_2` denotes the sum and product of the digits on the tic
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`
2 Answers 1 views
One ticket is selected at random from 100 tickets numbered `00,01,02, …, 99.` Suppose A and B are the sum and product of the digit found on the ticket
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`
2 Answers 1 views
The box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. The probability that the largest number on the
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)`
2 Answers 1 views
A box contains 24 identical balls of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. T
Correct Answer - C In any trial P (getting white ball) = P (W) =1/2 P(getting black ball)`=P(B)=1//2` Required event will occur if in the first six trial, 3 white balls...
2 Answers 1 views
One ticket is selected at ransom form 50 tickets numbered `00,01,02,…,49.` Then the probability that the sum of the digits on the selected ticket is 8
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...
2 Answers 1 views
A box `B_(1)` contains 1 white ball, 3 red balls, and 2 black balls. An- other box `B_(2)` contains 2 white balls, 3 red balls. A third box `B_(3)` co
Correct Answer - A P (required) = P (all are white) + P (all are red) + P (all are black) `=1/6xx2/9xx3/12+3/6xx3/9xx4/12+2/6xx4/9xx2/12=6/648+36/648+40/648=82/648`
2 Answers 1 views
A box contains `10` tickets numbered from `1` to `10` . Two tickets are drawn one by one without replacement. The probability that the "difference bet
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...
2 Answers 2 views
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 s
Correct Answer - f=300x+800y
2 Answers 1 views
(i) A box contins 80 discs, which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect
Correct Answer - ` (i) 1/10 (ii) (a) 9/10 (b) 1/5`
2 Answers 1 views
It is known that a box of 800 electric bulbs contains 36 defective bulbs . One bulb is taken at random of the box. What is the probability that the bu
Correct Answer - `(191)/(200) `
2 Answers 1 views