Question

Which experiment describes a binomial experiment?

a) Draw 4 cards from a deck of cards, without replacement, and record each time the card is an ace.
b) Roll 2 number cubes until rolling a sum of 8 and record how many trials you made.
c) Ask 9 people the same question and record each time they answered yes, no, maybe.
d) Spin a spinner with sections labeled A through F 6 times and record each time you get a vowel.

Answer 1

Answer: the second option.
A binomial experiment is an experiment with only two possible outcomes.

In the first option, there is four poissible outcomes (i.e. ace, king, queen, jack)
In the second option, there are two possible outcomes (i.e. '2 number cubes')
The third option has three possible outcomes (i.e. yes, no, maybe)
In the last option, there are six possible outcomes (i.e. A through F)