1
AIEEE 2003
+4
-1
The mean and variance of a random variable $$X$$ having binomial distribution are $$4$$ and $$2$$ respectively, then $$P(X=1)$$ is
A
$${1 \over 4}$$
B
$${1 \over 32}$$
C
$${1 \over 16}$$
D
$${1 \over 8}$$
2
AIEEE 2003
+4
-1
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
A
$${{2 \over 5}}$$
B
$${{4 \over 5}}$$
C
$${{3 \over 5}}$$
D
$${{1 \over 5}}$$
3
AIEEE 2002
+4
-1
A problem in mathematics is given to three students $$A,B,C$$ and their respective probability of solving the problem is $${1 \over 2},{1 \over 3}$$ and $${1 \over 4}.$$ Probability that the problem is solved is
A
$${3 \over 4}$$
B
$${1 \over 2}$$
C
$${2 \over 3}$$
D
$${1 \over 3}$$
4
AIEEE 2002
+4
-1
$$A$$ and $$B$$ are events such that $$P\left( {A \cup B} \right) = 3/4$$,$$P\left( {A \cap B} \right) = 1/4,$$
$$P\left( {\overline A } \right) = 2/3$$ then $$P\left( {\overline A \cap B} \right)$$ is
A
$$5/12$$
B
$$3/8$$
C
$$5/8$$
D
$$1/4$$
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