Question

Is the following situation a binomial setting? Explain how it does or does not meet the conditions of a binomial setting. Draw a single card from a standard deck of cards. Observe the card and then replace it. Count the number of times you draw a card like this until you get a seven.

Answer 1

I have no clue lol but the distribution of the count X of successes in the binomial setting is the binomial distribution with parameters n and p. The parameter n is the number of observations, and p is the probability of a success on any one observation.

Answer 2

Answer: This is a binomial setting.

Step-by-step explanation:

A binomial setting is a setting where we have two possible events with probabilities P1 and P2, and we have that P1 + P2 = 1

In our setting, we have two cases.

We draw a card different than 7

We draw a card with a 7.

the probability of drawing a 7 is 4/52 (we have 4 sevens in a 52 cards deck)

And the probability of not drawing a 7 is 45/52.

So we have two possible events in this experiment, then it is a binomial setting.