AIEEE 2004 | Probability Question 189 | Mathematics

The probability that $$A$$ speaks truth is $${4 \over 5},$$ while the probability for $$B$$ is $${3 \over 4}.$$ The probability that they contradict each other when asked to speak on a fact is :

$${4 \over 5}$$

$${1 \over 5}$$

$${7 \over 20}$$

$${3 \over 20}$$

AIEEE 2003

MCQ (Single Correct Answer)

-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.

$$\left[ {0,1} \right]$$

$$\left[ {{1 \over 3},{1 \over 2}} \right]$$

$$\left[ {{1 \over 3},{2 \over 3}} \right]$$

$$\left[ {{1 \
3},{13 \over 3}} \right]$$

AIEEE 2003

MCQ (Single Correct Answer)

-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 :

$${{2 \over 5}}$$

$${{4 \over 5}}$$

$${{3 \over 5}}$$

$${{1 \over 5}}$$