In basic probability, an event has probability $\frac{3}{4}$. Which statement best describes how likely the event is to occur?

• A. It is certain to occur (100% of the time).
• B. It is unlikely to occur (about 25% of the time).
• C. It is likely to occur (about 75% of the time in the long run).
• D. It is equally likely to occur as not occur (about 50% of the time).

Answer: (C)

Verified step by step guidance

1. Identify the given probability of the event, which is \(\frac{3}{4}\).
2. Understand that probability values range from 0 to 1, where 0 means the event never occurs and 1 means the event always occurs.
3. Convert the fraction \(\frac{3}{4}\) to a decimal by dividing the numerator by the denominator: \$3 \div 4 = 0.75$.
4. Interpret the decimal 0.75 as a percentage by multiplying by 100: \$0.75 \times 100 = 75\%$.
5. Conclude that since the probability is 75%, the event is likely to occur about 75% of the time in the long run.