Twenty tickets are marked the numbers $1, 2, ..... 20.$ If three tickets be drawn at random, then what is the probability that those marked $7$ and $11$ are among them

A bag contains $8$ black and $7$ white balls. Two balls are drawn at random. Then for which the probability is more

If an unbiased dice is rolled thrice, then the probability of getting a greater number in the $i^{\text {th }}$ roll than the number obtained in the $(i-1)^{\text {th }}$ roll, $i=2,3$, is equal to :

A committee has to be made of $5$ members from $6$ men and $4$ women. The probability that at least one woman is present in committee, is

A card is drawn from a pack of $52$ playing cards. The card is replaced and pack is  shuffled. If this is done six times, then the probability that $2$ hearts, $2$ diamond and $2$ black cards are drawn is

A box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession then the probability that one is red and other is green, is