Mathematics

Probability

337 Questions

Probability measures the likelihood of an event occurring, such as rolling a specific number on a die or drawing a colored ball. Questions cover simple events, mutually exclusive outcomes, and dice or coin combinations. This topic is consistently asked in mathematics and reasoning sections of competitive exams.

dice probabilitycoin toss eventsdrawing balls probabilitiesplaying card problemsmutually exclusive events

Probability Questions

Multiple choice

What is the probability of getting a sum of 7 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The probability of getting a sum of 7 when rolling two fair dice is 1/6.

Multiple choice

What is the probability of getting a sum of 11 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The probability of getting a sum of 11 when rolling two fair dice is 1/18.

Multiple choice

What is the probability of getting a sum of 2 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The probability of getting a sum of 2 when rolling two fair dice is 1/36.

Multiple choice

What is the Monte Carlo method?

  1. A method for generating random numbers.

  2. A method for solving differential equations.

  3. A method for solving integral equations.

  4. A method for solving algebraic equations.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Monte Carlo method is a method for generating random numbers. It is used to study the behavior of complex systems by simulating them on a computer.

Multiple choice

In the 2019 China Girls' Mathematical Olympiad, what was the probability of randomly selecting a prime number between 1 and 100?

  1. 1/4

  2. 1/5

  3. 1/6

  4. 1/7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are 25 prime numbers between 1 and 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Therefore, the probability of randomly selecting a prime number between 1 and 100 is 25 / 100 = 1/4.

Multiple choice

In the 2013 China Girls' Mathematical Olympiad, what was the probability of rolling a 6 on a standard six-sided die?

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

There are six possible outcomes when rolling a standard six-sided die: 1, 2, 3, 4, 5, and 6. Therefore, the probability of rolling a 6 is 1 / 6.

Multiple choice

What is the probability of getting a head when flipping a coin?

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/6
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When flipping a coin, there are two possible outcomes: head or tail. Since both outcomes are equally likely, the probability of getting a head is 1/2.