Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Probability

Question:

Two dice are thrown simultaneously. What is the probability that 4 will come up on at least one die?

Options:

$\frac{11}{36}$

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{5}{18}$

Correct Answer:

$\frac{11}{36}$

Explanation:

The correct answer is Option (1) → $\frac{11}{36}$

When two dice are thrown:

  • Probability that 4 does NOT appear on one die = $\frac{5}{6}$​
  • Probability that 4 does NOT appear on either die = $\left(\frac{5}{6}\right)^2 = \frac{25}{36}$​

So,
Probability that 4 appears on at least one die

$= 1 - \frac{25}{36} = \frac{11}{36}$