There are two round tables with seven and five chairs. What is the probability of seating twelve people on these tables such that two particular persons don’t sit on the same table?

A \(\frac {1} {66}\).  B \(\frac {35} {132}\)   C \(\frac {32} {66}\). D \(\frac {25} {66}\). E. None of these

There is a dart board with five concentric circles of radius 4cm, 6cm, 10cm, 14cm and 24cm. What is the probability that a dart thrown will hit the board between smallest and second largest circle? A. \(\frac {9} {19}\)  B. \(\frac {49} {144}\)   C. \(\frac {83} {144}\)  D. \(\frac {5} {16}\)   E. None of these

If three hunters A, B and C can hit targets with probabilities 0.5, 0.4 and 0.1 respectively, what is the probability that hunter C kills a deer after both A and B have fired at it once, assuming that it only takes a hunter one shot to kill the deer? (A hunter hits or misses independent of what the other hunters have done.)

A. 0.03  B. 0.01  C. 0.1  D. 0.02  E. None of these

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