A bag contains $4$ white, $5$ red and $6$ black balls. If two balls are drawn at random, then the probability that one of them is white is
$\frac{{44}}{{105}}$
$\frac{{11}}{{105}}$
$\frac{{11}}{{21}}$
None of these
Let a die be rolled $n$ times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the probability of getting even numbers twice is $\frac{ k }{2^{15}}$, then $k$ is equal to:
In a collection of tentickets, there are two winning tickets. From this collection, five tickets are drawn at random Let $p_1$ and $p_2$ be the probabilities of obtaining one and two winning tickets, respectively. Then $p_1+p_2$ lies in the interval
In a certain lottery $10,000$ tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy two ticket.
There are $n$ letters and $n$ addressed envelops. The probability that each letter takes place in right envelop is
From a pack of playing cards three cards are drawn simultaneously. The probability that these are one king, one queen and one jack is