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A and B pick a card at random from a well shuffled pack of cards, one after the other replacing it every time till one of them gets a queen. If A begins the game, then the probability that A wins the game is
An urn contains $6$ red, $4$ blue, $2$ green and $3$ yellow marbles. If four marbles are picked at random, what is the probability that at least one is blue?
$(a) \dfrac{5}{91}\quad(b) \dfrac{1}{35}\quad(c) \dfrac{1}{3}\quad(d) \dfrac{4}{105}\quad(e)$ None of these
In a throw of a dice, find the probability of getting an odd number?
There are $4$ boys and $4$ girls. They sit in a row randomly. What is the chance that all the girls do not sit together.
a bag contains $3$ red, $6$ white and $7$ blue balls. What is the probility that two balls drawn are white and blue?
a bag contain $5$ blue and $4$ black balls. Three balls are drawn at random. What is the probability that $2$ are blue and $1$ black?
A bag contains $4$ red balls, $6$ green balls and $5$ blue balls. If three balls are picked at random, what is the probability that two of them are green and one of them is blue in colour?
A building contractor knows that the probability of rain in his region during any given day in August is $30\%$. He has $2$ days work remaining on the job and there are $4$ days during which the work can be done without incurring penalty costs. If he gets no work done on rainy days, what is the probability that he will pay penalty? Assume that rain on any given day is independent of the fact that it did or did not rain on any other day.
A and B stand in a line at random with $10$ other people. What is the probability that there are exactly $3$ people between A and B?
If a card is selected from a set of $52$ cards knowing that it is not a Jack, find out the conditional probability that it is black coloured.