In the game wingspan will the next roll contain a nector or not?

nectarOrNo.js

diceOptions = ["nectar/wheat", "bug", "nectar/bug", "nectar/cherry", "rat", "fish"]
numberOfRolls = 50000
target = "nectar"

const rollSinge = () => {
  const diceSide = Math.floor(Math.random() * 6)
  return diceOptions[diceSide]
}

// generate blank array with n elements
let sim = new Array(numberOfRolls)
  .fill([])
  .map( x => [rollSinge(), rollSinge(), rollSinge(), rollSinge(), rollSinge()])
  .filter((birdFeeder)=>{
      simplifiedBirdFeeder = birdFeeder.map(dice => (dice.includes(target) ? target : dice))
      return simplifiedBirdFeeder.includes(target)
  });

console.log(`At  least one nector came up ${sim.length/numberOfRolls*100}% of the ${numberOfRolls} rolls`)
const formula = 1-((3/6) ** 5)
console.log(`I think the right math formula is 1-(3/6)^5 or ${formula}`)