BINOM.INV function

PRO

In Jspreadsheet Formulas Pro, BINOM.INV is a function that returns the smallest number of successes (x) such that the cumulative binomial distribution is greater than or equal to a given criterion probability (alpha).

This function is useful when you know the probability threshold and want to determine the minimum number of successes that will meet or exceed that probability.

Documentation

Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value.

Syntax

BINOM.INV(trials, probability_s, alpha)

Parameter	Description
`trials`	The number of independent trials.
`probability_s`	The probability of success on each trial.
`alpha`	The criterion value, a number between 0 and 1 inclusive.

Behavior

Returns the smallest integer x such that the cumulative binomial distribution is ≥ alpha.
trials must be a whole number ≥ 0.
probability_s and alpha must be between 0 and 1 inclusive.
Non-numeric inputs → #VALUE!
Invalid numeric ranges → #NUM!
Does not accept arrays or ranges — only scalar values or cell references.
Boolean inputs are not recommended; may cause coercion issues or errors.

Common Errors

Error	Description
`#NUM!`	trials is negative or non-integer, probability_s or alpha are outside the [0,1] range.
`#VALUE!`	One or more arguments are non-numeric (e.g., text or empty cells).

Best practices

Ensure trials is a non-negative integer.

Use decimal values between 0 and 1 for probability_s and alpha.

Do not use boolean values — they may be treated inconsistently.

Wrap your formula with IFERROR() if working with uncertain inputs.

This function is ideal when you need to work backwards from probability to required outcomes.

Usage

A few examples using the BINOM.INV function.

BINOM.INV(10, 0.4, 0.5)     → 4
// Returns 4: At least 4 successes are needed so that the cumulative binomial distribution ≥ 0.5

BINOM.INV(20, 0.2, 0.7)     → 5
// 5 or more successes have a cumulative probability ≥ 70%

BINOM.INV(30, 0.6, 0.9)     → 21
// 21 or more successes give you at least a 90% cumulative chance

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('MzM5NmNhNzA1NTEzMGY1YTQ5NmVlY2UxZjgwMjM3ZjU5MzQ4ODYyM2M5OTRhMjdjZDU5ZTE4YjRmYzk5NGZkODJlMmE0NmViYmY1MTM0NTBkZDVlZGM4NzQwMzNjYTlkNTBiODczMWE1NGMxZmU4OTBjMGY0ZDMyZWJiZDMxOTAsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVMk56a3pNRGt6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Trials",
        "Success Probability",
        "Alpha",
        "Critical Value"
    ],
    [
        10,
        0.4,
        0.5,
        "=BINOM.INV(A2,B2,C2)"
    ],
    [
        20,
        0.2,
        0.7,
        "=BINOM.INV(A3,B3,C3)"
    ],
    [
        30,
        0.6,
        0.9,
        "=BINOM.INV(A4,B4,C4)"
    ],
    [
        15,
        0.3,
        0.8,
        "=BINOM.INV(A5,B5,C5)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Trials",
        "Success Probability",
        "Alpha",
        "Critical Value"
    ],
    [
        10,
        0.4,
        0.5,
        "=BINOM.INV(A2,B2,C2)"
    ],
    [
        20,
        0.2,
        0.7,
        "=BINOM.INV(A3,B3,C3)"
    ],
    [
        30,
        0.6,
        0.9,
        "=BINOM.INV(A4,B4,C4)"
    ],
    [
        15,
        0.3,
        0.8,
        "=BINOM.INV(A5,B5,C5)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Trials",
        "Success Probability",
        "Alpha",
        "Critical Value"
    ],
    [
        10,
        0.4,
        0.5,
        "=BINOM.INV(A2,B2,C2)"
    ],
    [
        20,
        0.2,
        0.7,
        "=BINOM.INV(A3,B3,C3)"
    ],
    [
        30,
        0.6,
        0.9,
        "=BINOM.INV(A4,B4,C4)"
    ],
    [
        15,
        0.3,
        0.8,
        "=BINOM.INV(A5,B5,C5)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Trials",
        "Success Probability",
        "Alpha",
        "Critical Value"
    ],
    [
        10,
        0.4,
        0.5,
        "=BINOM.INV(A2,B2,C2)"
    ],
    [
        20,
        0.2,
        0.7,
        "=BINOM.INV(A3,B3,C3)"
    ],
    [
        30,
        0.6,
        0.9,
        "=BINOM.INV(A4,B4,C4)"
    ],
    [
        15,
        0.3,
        0.8,
        "=BINOM.INV(A5,B5,C5)"
    ]
]
            }]
        });
    }
}

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