A bag contains 7 red, 5 green and 6 blue balls. Three balls are drawn one by one at random without replacement. Find the probability that the first ball is red, second ball is green and third ball is blue?

A. \(\frac {31} {512}\)  B \(\frac {35} {816}\). C \(\frac {33} {713}\).  D \(\frac {34} {812}\)  E. None of these

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