Which of these is not a characteristic of a binomial experiment? a. what happens on one trial affects the probability on the next: they are dependent events. b. each trial results in one of two possible outcomes: success or failure. c. the coefficient of the binomial term can be determined using pascal’s triangle. d. the probability of success () on a single trial is the same for all trials.

A. What happens on one trial affects the probability on the next: they are dependent events.

Step-by-step explanation:

Below are some important characteristic of a binomial experiment:-

Basis these characteristics, only the first option is not a properties of a binomial experiment. In case of binomial experiment, the event is independent event.

Hence, option A is correct.

where are the options?

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for