Question

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.

Answer 1

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