Probability

A box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability that all three are of the same colour?

If $x \in[0,5]$, then what is the probability that $x^2-3 x+2 \geq 0$ ?

A point is chosen at random inside a rectangle measuring 6 inches by 5 inches. What is the probability that the randomly selected point is at least one inch from the edge of the rectangle?

One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the…

Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?

Three boys, P, Q, R an three girls S, T, U are to be arranged in a row for a group photograph. What is the probability that P and Q take the two end positions?

The probability distribution of random variable X with two missing probabilities $p_1$ and $p_2$ is given below: It is further given that $\mathrm{P}(\mathrm{X} \leq 2)=0.25$ and $\mathrm{P}(\mathrm{X} \geq 4)=0.35$.…

In throwing of two dice, the number of exhaustive events that '5' will never appear on any one of the dice is

Two integers $x$ and $y$ are chosen with replacement from the set $(0,1,2$, $\qquad$ 10). The probability that $|x-y| \gt 5$ is

If A, B, C are three events, then what is the probability that at least two of these events occur together?

What is the probability that an interior point in a circle is closer to the centre than to the circumference?

For a Binomial distribution with mean $6$ and standard deviation $\sqrt{2}$, what is the value of $P(X=0)$ ?