Problem 2
A number is selected at random from the integers 1 to 100 . What is the probability that it will be a multiple of 4 or \(6 ?\) (1) \(\frac{8}{25}\) (2) \(\frac{33}{100}\) (3) \(\frac{17}{50}\) (4) \(\frac{41}{100}\)
Problem 4
An urn contains 4 red and 6 green balls. A ball is selected at random from the urn and is replaced back into the urn. Now a ball is drawn again from the bag. What is the probability that the first ball is a red ball and the second is a green ball? (1) \(\frac{6}{25}\) (2) \(\frac{8}{25}\) (3) \(\frac{5}{6}\) (4) \(\frac{4}{15}\)
Problem 5
A box contains 5 apples, 6 oranges and ' \(\mathrm{x}\) ' bananas. If the probability of selecting an apple from the box is \(\frac{1}{3}\), then the number of bananas in the box is (1) 4 (2) 6 (3) 8 (4) 5
Problem 8
Two numbers are selected from the set of integers 1 to 25 . what is the probability that the product of the numbers will be 36 . (1) \(\frac{1}{200}\) (2) \(\frac{1}{100}\) (3) \(\frac{1}{50}\) (4) \(\frac{1}{75}\)
Problem 16
A three digit number is to be formed using the digits \(3,4,7,8\) and 2 without repetition. What is the probability that it is an odd number? (1) \(\frac{2}{5}\) (2) \(\frac{1}{5}\) (3) \(\frac{4}{5}\) (4) \(\frac{3}{5}\)
Problem 18
Two numbers 'a' and 'b' are selected successively one after another without replacement from the integers 1 to 15 . What is the probability that \(\frac{\mathrm{a}}{\mathrm{b}}\) will be an integer? (1) \(\frac{5}{7}\) (2) \(\frac{3}{7}\) (3) \(\frac{2}{7}\) (4) \(\frac{1}{7}\)
Problem 20
Two numbers are selected simultaneously from the first 20 natural numbers. What is the probability that the sum of the numbers is odd? (1) \(\frac{10}{19}\) (2) \(\frac{1}{19}\) (3) \(\frac{1}{10}\) (4) \(\frac{19}{20}\)
Problem 22
Two numbers are selected simultaneously from the first 25 natural numbers, what is the probability that the sum of the numbers is even? (1) \(\frac{6}{25}\) (2) \(\frac{12}{25}\) (3) \(\frac{4}{25}\) (4) \(\frac{8}{25}\)
Problem 23
A bag contains 7 red and 7 black coloured balls. A person drawn two balls from the bag, what is the probability that the two balls are the same in colour? (1) \(\frac{6}{13}\) (2) \(\frac{2}{7}\) (3) \(\frac{4}{13}\) (4) \(\frac{1}{13}\)
Problem 24
A committee of 4 persons is to be formed from 6 men and 4 women. What is the probability that the committee consists of equal number of men and women? (1) \(\frac{4}{7}\) (2) \(\frac{3}{7}\) (3) \(\frac{1}{7}\) (4) \(\frac{6}{7}\)