A number is selected from the set {1,2,3,...,20}. The probability that the selected number is divisible by 3 or 4 is

(a)

\({2\over5}\)

(b)

\({1\over8}\)

(c)

\({1\over2}\)

(d)

\({2\over3}\)

A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

(a)

\({3\over 14}\)

(b)

\({5\over 14}\)

(c)

\({1\over 14}\)

(d)

\({9\over 14}\)

A bag contains 6 green, 2 white, and 7 black balls. If two balls are drawn simultaneously, then the probability that both are different colours is

(a)

\({68\over 105}\)

(b)

\({71\over 105}\)

(c)

\({64\over 105}\)

(d)

\({73\over 105}\)

If two events A and B are independent such that P(A) = 0.35 and \(P(A\cup B)=0.6\), then P(B) is

(a)

\({5\over 13}\)

(b)

\({1\over 13}\)

(c)

\({4\over 13}\)

(d)

\({7\over 13}\)

In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is

(a)

\({2\over 11}\)

(b)

\({3\over 11}\)

(c)

\({5\over 11}\)

(d)

\({7\over 11}\)

The probability of two events A and B are 0.3 and 0.6 respectively. The probability that both A and B occur simultaneously is 0.18. The probability that neither A nor B occurs is

(a)

0.1

(b)

0.72

(c)

0.42

(d)

0.28

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is black or red ball is

(a)

\(\frac { 1 }{ 3 } \)

(b)

\(\frac { 1 }{ 4 } \)

(c)

\(\frac { 5 }{ 12 } \)

(d)

\(\frac { 2 }{ 3 } \)

A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

(a)

\(\frac { 64 }{ 64 } \)

(b)

\(\frac { 49 }{ 64 } \)

(c)

\(\frac { 40 }{ 64 } \)

(d)

\(\frac { 24 }{ 64 } \)

The probability that in a year of 22^nd century, chosen at random there will be 53 Sundays is

(a)

\(\frac { 3 }{ 28 } \)

(b)

\(\frac { 2 }{ 28 } \)

(c)

\(\frac { 7 }{ 28 } \)

(d)

\(\frac { 5 }{ 28 } \)

If A and B are two events such that \(P(A\cap B)=\frac { 7 }{ 10 } \) and P(B) = \(\frac { 17 }{ 20 } \) , then P(A/B) =

(a)

\(\frac { 14 }{ 17 } \)

(b)

\(\frac { 17 }{ 20 } \)

(c)

\(\frac { 7 }{ 8 } \)

(d)

\(\frac { 1 }{ 8 } \)