One ticket is selected at random from 100 tickets numbered 00,01,02,...,98,99. Suppose S and T are the sum and product of the digits of the number on the ticket, then the probability of getting S=9 and T=0 is `2//19` b. `19//100` c. `1//50` d. none of these

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, respectively. Then P((A=7)//(B=0)) is given by

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 tickets, then P(x_1=9//x_2=0) is equal to a. 2//19 b. 19//100 c. 1//50 d. none of these

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals (1) 1/14 (2) 1/7 (3) 5/14 (4) 1/50

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

Dialling a telephone number an old man forgets the last two digits remembering only that these are different dialled at random. The probability that the number is dialled correctly is 1//45 b. 1//90 c. 1//100 d. none of these

Numberse are selected at random, one at a time, from the two-digit numbers 00,01,02,….99 with replacement. An event E occurs if and only if the product of the two digits of a selected number is 18. If four numbers are selected, find probability that the event E occurs at least 3 times.

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be remainder is 14//19 b. 5//19 c. 5//6 d. 7//15

The sum of 20 terms of the series whose rth term s given by k T(n)=(-1)^n(n^2+n+1)/(n !) is (20)/(19 !) b. (21)/(20 !)-1 c. (21)/(20 !) d. none of these

A box contains 100 tickets numbered 1,2,3......100 . Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number on them is 5, with probability

Three integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3 is 194//285 b. 1//57 c. 13//19 d. 3//4