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Statistical function

PROB

Returns the probability that values in a range fall between two limits.

Rarely usedDifficulty 1400 · AdvancedUsage rank #357 of 520
Practice · 2 questions →

When to use it

The probability that a value from a discrete distribution falls in a range, given the values and their probabilities.

The shape of it

Syntax
=PROB(x_range, prob_range, [lower_limit], [upper_limit])

Worked examples

  • One value

    =PROB({1,2,3,4},{0.1,0.2,0.3,0.4},3) 0.3

    Probability of exactly 3.

  • A range

    =PROB({1,2,3,4},{0.1,0.2,0.3,0.4},2,3) 0.5

    Probability of 2 through 3.

  • Everything

    =PROB({1,2,3,4},{0.1,0.2,0.3,0.4},1,4) 1

    The whole distribution.

Worth knowing

  • Probabilities must add to 1.
  • Handy for scenario tables: outcomes in one column, weights in the next.
  • SUMIFS over the probability column does the same for ranges.

Where it goes wrong

  • #NUM! when the probabilities do not sum to 1 or any is outside 0 to 1.
  • #N/A when the two ranges differ in size.

Related

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