What is the probability of rolling a number greater than 4 on a fair six-sided die?

What is the probability of rolling a number greater than 4 on a fair six-sided die?

• A. 1/3
• B. 1/6
• C. 2/3
• D. 1

Answer: (A)

Probability is the ratio of favorable outcomes to total possible outcomes. On a fair six-sided die, each face is equally likely. Numbers greater than four are five and six, giving two favorable outcomes out of six total. So the probability is 2/6, which simplifies to 1/3. That matches the result of two favorable faces out of six. The other fractions would correspond to different counts of favorable faces: one would imply only one face qualifies (1/6), four faces would give 2/3, and all six faces would give 1.

Probability is the ratio of favorable outcomes to total possible outcomes. On a fair six-sided die, each face is equally likely. Numbers greater than four are five and six, giving two favorable outcomes out of six total. So the probability is 2/6, which simplifies to 1/3. That matches the result of two favorable faces out of six. The other fractions would correspond to different counts of favorable faces: one would imply only one face qualifies (1/6), four faces would give 2/3, and all six faces would give 1.