Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
A.
1/63
B.
2/35
C.
2/63
D.
9/14
2.
An urn contains 6red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?
A.
6/13
B.
5/26
C.
5/13
D.
7/26
3.
Four dice are thrown simultaneously. Find the probability that all of them show the same face.
A.
1/216
B.
1/36
C.
4/216
D.
3/216
4.
What is the probability that a number selected from numbers 1,2,3,...,30, is prime number, when each of the given numbers is equally likely to be selected?
A.
9/30
B.
8/30
C.
10/30
D.
11/30
5.
A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.
A.
5/21
B.
9/42
C.
11/42
D.
4/21
6.
A five-digit number is formed by using digits 1,2,3,4 and 5 without repetition. What is the probability that the number is divisible by 4?
A.
1/5
B.
5/6
C.
4/5
D.
None of these
7.
A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event?
A.
35%
B.
5%
C.
45%
D.
22.5%
8.
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King.
A.
1/13
B.
4/13
C.
1/52
D.
1/26
9.
You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?
A.
1/2
B.
1/6
C.
1/8
D.
1/12
10.
The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.
