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PMI-RMP · Question #295

If a risk has a 20 percent chance of happening in a given month, and the project is expected to last five months, what is the probability that this risk event will occur during the fourth month of the

The correct answer is B. 20 percent. The probability of an independent risk event occurring in any specific month remains constant at its defined probability, regardless of which month of the project is being evaluated.

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Question

If a risk has a 20 percent chance of happening in a given month, and the project is expected to last five months, what is the probability that this risk event will occur during the fourth month of the project?

Options

  • ALess than 1 percent
  • B20 percent
  • C60 percent
  • D80 percent

How the community answered

(29 responses)
  • A
    3% (1)
  • B
    93% (27)
  • D
    3% (1)

Why each option

The probability of an independent risk event occurring in any specific month remains constant at its defined probability, regardless of which month of the project is being evaluated.

ALess than 1 percent

Less than 1% would imply the probability decreases over time, which is incorrect for an independent monthly probability.

B20 percentCorrect

Each month is an independent time period, so the 20% probability of occurrence applies to any given month in isolation, including the fourth month. The probability does not accumulate across prior months unless the question asks for cumulative probability; since it asks about the fourth month specifically, the answer is simply 20%.

C60 percent

60% would represent an approximate cumulative probability over three months using complement math, not the probability for a single specific month.

D80 percent

80% would suggest a cumulative probability over four months, which is not what the question asks - it asks about the fourth month in isolation.

Concept tested: Independent probability of a risk event per period

Source: https://www.pmi.org/pmbok-guide-standards/foundational/pmbok

Topics

#Risk probability#Independent events#Quantitative risk analysis

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