diff --git a/data/mods/gen2/moves.ts b/data/mods/gen2/moves.ts
index 634f0e89341f..58797d872151 100644
--- a/data/mods/gen2/moves.ts
+++ b/data/mods/gen2/moves.ts
@@ -590,7 +590,7 @@ export const Moves: import('../../../sim/dex-moves').ModdedMoveDataTable = {
 				this.debug('Pursuit start');
 				let alreadyAdded = false;
 				for (const source of this.effectState.sources) {
-					if (source.speed < pokemon.speed || (source.speed === pokemon.speed && this.random(2) === 0)) {
+					if (source.speed < pokemon.speed || (source.speed === pokemon.speed && this.randomChance(1, 2))) {
 						// Destiny Bond ends if the switch action "outspeeds" the attacker, regardless of host
 						pokemon.removeVolatile('destinybond');
 					}
diff --git a/data/mods/gen5/conditions.ts b/data/mods/gen5/conditions.ts
index 68bf4a6d5800..ed35741577fd 100644
--- a/data/mods/gen5/conditions.ts
+++ b/data/mods/gen5/conditions.ts
@@ -32,7 +32,7 @@ export const Conditions: import('../../../sim/dex-conditions').ModdedConditionDa
 			// However, just in case, use 1 if it is undefined.
 			const counter = this.effectState.counter || 1;
 			if (counter >= 256) {
-				return this.random(0x100000000) === 0; // 2^32
+				return this.randomChance(1, 2 ** 32);
 			}
 			this.debug("Success chance: " + Math.round(100 / counter) + "%");
 			return this.randomChance(1, counter);
diff --git a/data/mods/gen9ssb/moves.ts b/data/mods/gen9ssb/moves.ts
index 4c057850e281..cdbef5356fb5 100644
--- a/data/mods/gen9ssb/moves.ts
+++ b/data/mods/gen9ssb/moves.ts
@@ -2608,7 +2608,7 @@ export const Moves: import('../../../sim/dex-moves').ModdedMoveDataTable = {
 			const spd = target.getStat('spd', false, true);
 			const physical = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * atk) / def) / 50);
 			const special = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * spa) / spd) / 50);
-			if (physical > special || (physical === special && this.random(2) === 0)) {
+			if (physical > special || (physical === special && this.randomChance(1, 2))) {
 				move.category = 'Physical';
 				move.flags.contact = 1;
 			}
diff --git a/data/moves.ts b/data/moves.ts
index 1305ab57fb6c..450b43398a9f 100644
--- a/data/moves.ts
+++ b/data/moves.ts
@@ -7352,7 +7352,7 @@ export const Moves: import('../sim/dex-moves').MoveDataTable = {
 		isMax: "Snorlax",
 		self: {
 			onHit(source) {
-				if (this.random(2) === 0) return;
+				if (this.randomChance(1, 2)) return;
 				for (const pokemon of source.alliesAndSelf()) {
 					if (pokemon.item) continue;
 
@@ -7448,12 +7448,12 @@ export const Moves: import('../sim/dex-moves').MoveDataTable = {
 		isMax: "Grimmsnarl",
 		onHit(target) {
 			if (target.status || !target.runStatusImmunity('slp')) return;
-			if (this.random(2) === 0) return;
+			if (this.randomChance(1, 2)) return;
 			target.addVolatile('yawn');
 		},
 		onAfterSubDamage(damage, target) {
 			if (target.status || !target.runStatusImmunity('slp')) return;
-			if (this.random(2) === 0) return;
+			if (this.randomChance(1, 2)) return;
 			target.addVolatile('yawn');
 		},
 		secondary: null,
@@ -16814,7 +16814,7 @@ export const Moves: import('../sim/dex-moves').MoveDataTable = {
 			const spd = target.getStat('spd', false, true);
 			const physical = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * atk) / def) / 50);
 			const special = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * spa) / spd) / 50);
-			if (physical > special || (physical === special && this.random(2) === 0)) {
+			if (physical > special || (physical === special && this.randomChance(1, 2))) {
 				move.category = 'Physical';
 				move.flags.contact = 1;
 			}
diff --git a/data/rulesets.ts b/data/rulesets.ts
index 4196b578d0ec..e434c91e491c 100644
--- a/data/rulesets.ts
+++ b/data/rulesets.ts
@@ -2543,7 +2543,7 @@ export const Rulesets: import('../sim/dex-formats').FormatDataTable = {
 				const spd = target.getStat('spd', false, true);
 				const physical = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * atk) / def) / 50);
 				const special = Math.floor(Math.floor(Math.floor(Math.floor(2 * pokemon.level / 5 + 2) * 90 * spa) / spd) / 50);
-				if (physical > special || (physical === special && this.random(2) === 0)) {
+				if (physical > special || (physical === special && this.randomChance(1, 2))) {
 					move.category = 'Physical';
 					move.flags.contact = 1;
 				}
diff --git a/sim/prng.ts b/sim/prng.ts
index 1ac183d7cf8a..503f75dff6e2 100644
--- a/sim/prng.ts
+++ b/sim/prng.ts
@@ -82,11 +82,11 @@ export class PRNG {
 		if (from) from = Math.floor(from);
 		if (to) to = Math.floor(to);
 		if (from === undefined) {
-			return result / 0x100000000;
+			return result / 2 ** 32;
 		} else if (!to) {
-			return Math.floor(result * from / 0x100000000);
+			return Math.floor(result * from / 2 ** 32);
 		} else {
-			return Math.floor(result * (to - from) / 0x100000000) + from;
+			return Math.floor(result * (to - from) / 2 ** 32) + from;
 		}
 	}
 
@@ -149,10 +149,10 @@ export class PRNG {
 		return [
 			'sodium',
 			// 32 bits each, 128 bits total (16 bytes)
-			Math.trunc(Math.random() * 0x100000000).toString(16).padStart(8, '0') +
-				Math.trunc(Math.random() * 0x100000000).toString(16).padStart(8, '0') +
-				Math.trunc(Math.random() * 0x100000000).toString(16).padStart(8, '0') +
-				Math.trunc(Math.random() * 0x100000000).toString(16).padStart(8, '0'),
+			Math.trunc(Math.random() * 2 ** 32).toString(16).padStart(8, '0') +
+				Math.trunc(Math.random() * 2 ** 32).toString(16).padStart(8, '0') +
+				Math.trunc(Math.random() * 2 ** 32).toString(16).padStart(8, '0') +
+				Math.trunc(Math.random() * 2 ** 32).toString(16).padStart(8, '0'),
 		];
 	}
 }
@@ -267,10 +267,10 @@ export class Gen5RNG implements RNG {
 
 	static generateSeed(): Gen5RNGSeed {
 		return [
-			Math.trunc(Math.random() * 0x10000),
-			Math.trunc(Math.random() * 0x10000),
-			Math.trunc(Math.random() * 0x10000),
-			Math.trunc(Math.random() * 0x10000),
+			Math.trunc(Math.random() * 2 ** 16),
+			Math.trunc(Math.random() * 2 ** 16),
+			Math.trunc(Math.random() * 2 ** 16),
+			Math.trunc(Math.random() * 2 ** 16),
 		];
 	}
 }
@@ -286,7 +286,7 @@ export type Gen3RNGSeed = ['gen3', number];
 export class Gen3RNG implements RNG {
 	seed: number;
 	constructor(seed: Gen3RNGSeed | null = null) {
-		this.seed = seed ? seed[1] : Math.trunc(Math.random() * 0x100000000);
+		this.seed = seed ? seed[1] : Math.trunc(Math.random() * 2 ** 32);
 	}
 	getSeed() {
 		return ['gen3', this.seed];
diff --git a/sim/tools/runner.ts b/sim/tools/runner.ts
index f10d2fd0765d..11a86680739b 100644
--- a/sim/tools/runner.ts
+++ b/sim/tools/runner.ts
@@ -140,10 +140,10 @@ export class Runner {
 	// NOTE: advances this.prng's seed by 4.
 	private newSeed(): PRNGSeed {
 		return [
-			this.prng.random(0x10000),
-			this.prng.random(0x10000),
-			this.prng.random(0x10000),
-			this.prng.random(0x10000),
+			this.prng.random(2 ** 16),
+			this.prng.random(2 ** 16),
+			this.prng.random(2 ** 16),
+			this.prng.random(2 ** 16),
 		];
 	}