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### Mathematical Skills | Probability

 Q. No. 1: Each of X and Y take not more than 10 pens at random from a box containing unlimited number of pens. What is the probability that the difference in the number of pens they take is not more than 5? A : 91/121 B : 1/2 C : 93/121 D : 95/121 Solution
 Q. No. 2: Sum of digits of a 5 digit number is 41. Find the probability that such a number is divisible by 11? A : 2/15 B : 11/36 C : 3/35 D : 6/35 Solution
 Q. No. 3: Positive integers (a and b)are chosen from a set of integers. What is the probability that the units digit of the product (297)a * (323)b is 1? A : 4/17 B : 3/16 C : 2/5 D : 1/4 Solution
 Q. No. 4: In  a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy? A : 4/7 B : 4/9 C : 5/7 D : 2/7 Solution
 Q. No. 5: Two urn contains 5 white and 7 black balls and 3 white and 9 black balls. One ball is transferred to the second urn and then one ball is drawn from the second urn. Find the probability that the first ball transferred is black, given that the ball drawn is black? A : 13/23 B : 11/23 C : 14/23 D : 7/23 Solution
 Q. No. 6: Summation(n) is written for n=1 to n=199 on cards. What is the probability of drawing a card with an even number written on it? A : 1/2 B : 97/200 C : 97/199 D : 100/199 Solution
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