63trust / 100

Streak Odds

by Probability Calculators in Other

x402 APIPassing, checked 9 h ago

Chance of a run: r successes in a row (or r identical outcomes) somewhere in n independent trials, like coin flips.

GET
https://probability-calc.x402tookit.com/streak-odds
Price
$0.02
per call in USDC
Uptime
70.6%
last 30 days
Response time
522 ms
610 ms slowest 5%
Last check
Passed
9 h ago, next any minute now

Run a free test callHow to call it

Reliability

All checks passedSome failedAll failedNot checked

Status and outage history · Atom feed · Watch with other listings

How to call it

GET https://probability-calc.x402tookit.com/streak-odds

Each call costs $0.02 in USDC on Polygon, paid with the request over x402.

Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.

Example request

From the listing.

GET https://probability-calc.x402tookit.com/streak-odds?n=100&r=5

Parameters

ParameterTypeRequiredDescription
kindstringNoheads (a run of successes, default) or either (a run of identical outcomes, both kinds)
nintegerYesNumber of trials, 1 to 5000
pnumberNoProbability of success on each trial (default 0.5)
rintegerYesStreak length wanted, 1 to n

Example response

The provider's example. We can't check it without paying.

{
  "asOf": "2026-10-11T14:44:18.933Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "kind": "heads",
  "notChecked": [
    "dependent trials (hot hands, momentum, cards drawn without replacement)",
    "streaks counted across separate sessions",
    "…1 more"
  ],
  "oneIn": 1.2344008773529118,
  "p": 0.5,
  "probability": 0.8101095991963579,
  "reasons": [
    "Exact dynamic programming over the current run length, not a simulation.",
    "Long streaks in random data are much more common than intuition suggests: the typical longest run grows like log(n).",
    "…1 more"
  ],
  "roughTypicalLongestRun": 5.6,
  "source": "computed locally (dynamic programming on run lengths)",
  "streakLength": 5,
  "summary": "Chance of 5 or more successes in a row within 100 trials (p=0.5): 81.011% (1 in 1.23).",
  "trials": 100,
  "verdict": "MORE_LIKELY_THAN_NOT"
}

Call it from code

The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.

curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://probability-calc.x402tookit.com/streak-odds?n=100&r=5'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://probability-calc.x402tookit.com/streak-odds?n=100&r=5' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode
JavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fprobability-calc.x402tookit.com%2Fstreak-odds
const res = await pay("https://probability-calc.x402tookit.com/streak-odds?n=100&r=5");
console.log(res.status, await res.text());
Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://probability-calc.x402tookit.com/streak-odds?n=100&r=5")
    print(res.status_code, res.text)

Security scan

No findings

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Recent checks

WhenResultHTTPTimePrice
9 h agoPassed402512 ms$0.02
22 h agoExpected HTTP 402, got 530530111 ms-
34 h agoPassed402566 ms$0.02
46 h agoExpected HTTP 402, got 53053099 ms-
2 days agoPassed402529 ms$0.02
Show 10 older checks
3 days agoPassed402610 ms$0.02
3 days agoPassed402519 ms$0.02
5 days agoExpected HTTP 402, got 53053084 ms-
5 days agoExpected HTTP 402, got 530530220 ms-
5 days agoExpected HTTP 402, got 530530184 ms-
5 days agoPassed402513 ms$0.02
5 days agoPassed402547 ms$0.02
6 days agoPassed402584 ms$0.02
6 days agoPassed402560 ms$0.02
6 days agoPassed402522 ms$0.02