Two dice are thrown simultaneously. Find the probability that sum of the numbers on both the dice is a prime number.

A  \(\frac {1} {4}\). B \(\frac {5} {12}\). C. \(\frac {7} {12}\)  D \(\frac {11} {12}\) E. None of these

A man and his wife appear in an interview. The probability of husband‘s selection is 1/7 and the probability of wife‘s selection is 1/5. What is the probability that only one of them is selected?

A. \(\frac {2} {7}\)  B  \(\frac {1} {25}\). C   \(\frac {1} {3}\).  D  \(\frac {1}{35}\)  E  \(\frac {1} {49}\)

A bag contains 2 red, 5 green and 4 yellow balls. 4 balls are drawn at random, find the probability that out of four balls at least 3 balls are yellow.

A  \(\frac{19} {330}\) B  \(\frac {4} {165}\)  C  \(\frac {29} {330}\)   D   \(\frac {8} {165}\)  E  None of these

There are 6 Green, 5 Red and 3 white balls in a bag. If 3 balls are drawn randomly what is the probability that no ball is Red?

A. \(\frac {6} {13}\)  B.\(\frac{9} {17}\)  C. \(\frac {3} {13}\)  D. \(\frac {5} {14}\)  E. None of these

A bag contains 5 green, 7 yellow and 4 red balls. Three balls are drawn at random, find the probability that all the balls are of same colour.

A  \(\frac {5} {46}\). B \(\frac{9}{70}\) C. \(\frac{7}{78}\) D. \(\frac{7}{80}\) E. None of these

A bag contains ‘x’ red, ‘x + 3’ blue and ‘2x – 2’ green balls. Two balls are randomly drawn from the bag and the probability that both the balls are green is 3/20. Find the total number of balls in the bag.

A. 27 B. 25 C. 23 D. 21 E. 20

In a class of 80 students, a student is to be selected for becoming monitor. If 20 % of total students belongs to ST category, 15 % belongs to SC category, 30 % belongs to OBC category and remaining belongs to General category and in each category the ratio of boys and girls is 1 : 1. What is the probability that the monitor selected is a girl who belongs to either ST or OBC category ? A. \(\frac {3} {5}\) B  \(\frac{1}{4}\). C  \(\frac{3}{4}\). D. \(\frac{3}{8}\) E. None of these 

A packet contains some red pens, blue pens and black pens such that the probability of picking a red pen is 3/13 and probability of picking a black pen is 1/3. If no. of blue pens is 17 and if all the pens are numbered starting from 1,2,3,….. and so on , then what is the probability of getting one pen numbered as multiple of 5 or 8 ?

A  \(\frac{2}{3}\). B  \(\frac{3} {52} \). C \(\frac{3}{13}\) D. \(\frac {11} {39}\) E. \(\frac{10} {39}\)

A box contains 50 marbles of different colours i.e. purple, pink and blue. Find the number of pink marbles in the box, if probability of picking up a purple marble is 3/5 and that of either a purple or a pink marble is 4/5.

A. 6  B. 8  C. 5   D. 10  E. None of these

In bag A there are 5 red balls, X green balls and 7 yellow balls. Probability of drawing one green ball from bag A is 2/5. In bag B there are (X – 3) red balls, (X – 4) green balls and 6 yellow balls. 2 balls are drawn from bag B. Find the probability that both the balls are red in colour? 

A. \(\frac{3}{11}\)  B. \(\frac{4}{21}\)  C. \(\frac{5}{21}\) D \(\frac{2}{23}\) E. None of these

A bag contains ‘x’ red, ‘x+5’ blue and ‘x + 7’ grey balls. If two balls are randomly drawn from the bag and the probability that both the balls are of same colour is 148/435, then find the total number of balls in the bag.

A. 36 balls B. 64 balls C. 58 balls D. 30 balls E. 29 ballsCO