Two integers $\mathrm{x}$ and $\mathrm{y}$ are chosen with replacement from the set $\{0,1,2,3, \ldots ., 10\}$. Then the probability that $|x-y|>5$ is:
$\frac{30}{121}$
$\frac{62}{121}$
$\frac{60}{121}$
$\frac{31}{121}$
The chance of India winning toss is $3/4$. If it wins the toss, then its chance of victory is $4/5$ otherwise it is only $1/2$. Then chance of India's victory is
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be not a black card.
If $\frac{2}{11}$ is the probability of an event, what is the probability of the event $'$ not $A ^{\prime}$.
A bag contains $5$ white, $7$ red and $8$ black balls. If four balls are drawn one by one without replacement, what is the probability that all are white
A bag contains $3$ red and $5$ black balls and a second bag contains $6$ red and $4$ black balls. A ball is drawn from each bag. The probability that one is red and other is black, is