Probability

A fair die is rolled. What is the probability of getting a number strictly less than $7$?

A card is drawn from a standard deck. What is the probability that the card is a '$10$' of any suit?

What is the probability of selecting the letter 'V' from the word 'VOWEL'?

A number is selected at random from the integers $1$ to $20$. What is the probability that it is an odd number?

A number is chosen at random from $1$ to $50$. What is the probability that the number has more than $2$ factors?

Two coins are tossed once. What is the probability of getting one head and one tail?

A card is drawn from a pack of $52$ cards. What is the probability that the card is NOT a King?

A card is drawn from a deck of 52 cards. What is the probability that the card is neither a red card nor a queen?

Two dice are rolled. What is the probability that the sum of the numbers is a prime number greater than 5?

If a number $x$ is chosen at random from the set $\{1, 2, 3, ..., 10\}$, what is the probability that $x^2 - 5x + 6 = 0$?

A card is drawn from a deck of $52$. What is the probability that it is a black card?

In a throw of a die, what is the probability of getting a number $\ge 5$?

A number is chosen from $1$ to $12$. What is the probability that it is a divisor of $12$?

What is the probability of selecting a Sunday from a week?

A two-digit number is chosen at random. What is the probability that the sum of its digits is $9$?

A bag contains $15$ balls. The probability of picking a red ball is $0.2$ and a green ball is $0.4$. The rest are yellow. How many yellow balls are in the bag?

A letter is chosen at random from the word "TRIGONOMETRY". What is the probability that the letter is 'R'?

What is the probability that a five-digit number formed by the digits 1, 2, 3, 4, 5 (without repetition) is divisible by 4?

A fair die is rolled twice. What is the probability that the sum of the outcomes is 8, given that the first roll resulted in an even number?

In a non-leap year, what is the probability that there are exactly 52 Mondays?

A card is drawn from a well-shuffled deck of $52$ cards. What is the probability that the card is either a club or a diamond?

The probability of a sure event is always:

The probability of an impossible event is always:

A letter is chosen at random from the word $ALGEBRA$. What is the probability that it is a vowel?

A number is chosen at random from the numbers $1$ to $100$. What is the probability that the number's digits are the same?

A bag contains $5$ red, $4$ blue, and some yellow balls. If the total number of balls is $15$, what is the probability of drawing a yellow ball at random?

A card is drawn at random from a well-shuffled deck of $52$ cards. What is the probability that it is a red card but not a face card?

An integer $n$ is chosen at random from the set $\{1, 2, 3, \dots, 100\}$. What is the probability that $n + \frac{100}{n} > 29$?

In a single throw of two dice, what is the probability that one die shows a multiple of $3$ and the other die shows an even number?

A number is chosen at random from $1$ to $40$. What is the probability that it is a multiple of $3$ or $4$?