Which experiment describes a binomial experiment?

draw 4 cards from a deck of cards, without replacement, and record each time the card is an ace.

spin a spinner with sections labeled a through f 6 times and record each time you get a vowel.

roll 2 dice until you get a sum of 8 and record how many trials you made.

ask 9 people the same question and record each time they answered yes, no, or maybe.

You have 4 options:
4 cards: because you draw cards and don't replace them your chance p changes on every trial, so it can't be a binomial experiment
roll 2 dice until...: a binomial experiment must have a consistent amount of trials, by doing an action until some condition is fulfilled violates this as the amount of trials or throws in this case is random
ask 9 people: there are three options, binomial experiments can only have 2

the only option left is the spinner, which is a binomial experiment

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3