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Security and Risk ManagementhardMultiple ChoiceObjective-mapped

CISSP Security and Risk Management Practice Question

In a quantitative risk analysis, if the single loss expectancy (SLE) is $15,000 and the annual rate of occurrence (ARO) is 0.5, what is the annualized loss expectancy (ALE)?

Answer choices

Why each option matters

Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.

Correct answer & explanation

$7,500

ALE = SLE * ARO = $15,000 * 0.5 = $7,500.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • $7,500

    Why this is correct

    This value correctly represents the Annualized Loss Expectancy (ALE), which is a key metric in quantitative risk analysis. It is calculated by multiplying the Single Loss Expectancy (SLE) by the Annualized Rate of Occurrence (ARO). Assuming an SLE of $15,000 and an ARO of 0.5 (meaning the event is expected to occur once every two years), the ALE is $15,000 * 0.5 = $7,500. This figure quantifies the expected financial loss from a specific risk over a one-year period, informing cost-benefit analyses for security controls.

  • $30,000

    Why it's wrong here

    This value is incorrect for the Annualized Loss Expectancy (ALE) and indicates a miscalculation. It appears to be derived by multiplying the Single Loss Expectancy (SLE) of $15,000 by an incorrect Annualized Rate of Occurrence (ARO) of 2, or by simply doubling the SLE. Such an error would imply the threat event occurs twice a year, which contradicts the scenario where $7,500 is the correct ALE, suggesting an ARO of 0.5. This miscalculation significantly overestimates the annual financial impact of the risk, leading to potentially misguided resource allocation.

  • $15,000

    Why it's wrong here

    This figure represents the Single Loss Expectancy (SLE), which is the monetary loss expected each time a specific threat event occurs. SLE is calculated as the Asset Value (AV) multiplied by the Exposure Factor (EF), quantifying the impact of a single incident. However, the question asks for a value that is likely the Annualized Loss Expectancy (ALE), which incorporates the frequency of occurrence over a year. Therefore, while $15,000 is a crucial component in the ALE calculation, it is not the final annualized figure that accounts for recurrence.

  • $75,000

    Why it's wrong here

    This value is significantly higher than the correct Annualized Loss Expectancy (ALE) and strongly suggests a calculation error, most likely a misplaced decimal point or an incorrect multiplier. If the Single Loss Expectancy (SLE) is $15,000 and the Annualized Rate of Occurrence (ARO) is 0.5, then multiplying $15,000 by 5 instead of 0.5, or by 0.05 and then by 10, would lead to this erroneous result. Such a substantial overestimation would lead to misinformed risk management decisions, potentially causing an organization to overspend on controls for a less impactful risk.

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JA

Written by Johnson Ajibi, MSc IT Security

Senior Network & Security Engineer · founder of Courseiva

This CISSP practice question is part of Courseiva's free ISC2 certification practice question bank. Courseiva provides original exam-style practice questions with explanations, topic-based practice, mock exams, readiness tracking, and study analytics to help learners prepare for the CISSP exam.