1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Events $$A, B, C$$ are mutually exclusive events such that $$P\left( A \right) = {{3x + 1} \over 3},$$ $$P\left( B \right) = {{1 - x} \over 4}$$ and $$P\left( C \right) = {{1 - 2x} \over 2}$$ The set of possible values of $$x$$ are in the interval.
A
$$\left[ {0,1} \right]$$
B
$$\left[ {{1 \over 3},{1 \over 2}} \right]$$
C
$$\left[ {{1 \over 3},{2 \over 3}} \right]$$
D
$$\left[ {{1 \
3},{13 \over 3}} \right]$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+4
-1
Change Language
$$A$$ 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
$$1/4$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A dice is tossed $$5$$ times. Getting an odd number is considered a success. Then the variance of distribution of success is :
A
$$8/3$$
B
$$3/8$$
C
$$4/5$$
D
$$5/4$$
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