Basics of Probability

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting a number greater than $6$?

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting an even number?

Study the given information and answer the following question --
An urn contains $4$ Green, $3$ Red and $5$ Blue balls.
What is the probability that at least one is Blue, if $4$ balls are picked at random ?

Numbers $1$to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it .  Answer the following questions.

What is the probability of getting a $1-$digit number ?

Numbers $1 \mathrm{to} 10$ are written on ten separates slips (one number on one slip), kept in a box, and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting a number less than $6$?

Three identical dice are rolled. The probability that the same number will appear on each of them is

Two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $\mathrm{0.14.}$ Then the probability that neither $A$ nor $B$ occurs is:

If the integers $m \& n$ are chosen at random from $1$ to $100$, then the probability that a number of the form $7^m+7^n$ is divisible by $5$ equals:

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral, equals

A coin is biased so that heads comes up thrice as likely as tails. In four independent tosses of the coin, what is probability of getting exactly three heads?

A biased coin with the probability of getting head equal to $\frac{1}{4}$ is tossed five times. What is the probability of getting tail in all the first four tosses followed by head?

$m$ parallel lines cut $n$ parallel lines giving rise to $60$ parallelograms. What is the value of $\left(m+n\right)$?

A natural number $n$ is chosen from the first $50$ natural numbers. What is the probability that $n+\frac{50}{n}<50$?

What is the probability that the month of December has $5$ Sundays?

Three dice are thrown. What is the probability that each face shows only multiples of $3$?

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 probability that it is white?

A five digit number is formed by the digits $1, 2, 3, 4, 5$ with no digit being repeated. The probability that the number is divisible by $4$, is

If $p$ and $q$ are chosen at random from the set $\{1,2,3$, $\dots ,10\}$, with replacement, then the probability that the roots of equation $x^2+px+q=0$ are real, is

A box contains $6$ red ball and $2$ black balls. Two balls are drawn at random from it without replacement. If $X$ denotes the number of red balls drawn, then $E\left(X\right)$ is equal to