Question

In a game of luck, a turn consists of a player rolling 7 six-sided dice and counting how many of the dice

show a 5. Let F be the number of dice showing a 5 in a turn.
What type of variable is F?

Answer 1

Answer: Correct answer is binomial

Answer 2

Answer: Binomial

Explanation:

1 / 3

A binomial setting has a set number of trials, and the variable in question is the number of

successes that occur in those trials.

A geometric setting does not have a set number of trials, and the variable in question is the

number of trials it takes to get the first success.

In both settings, the trials are independent and the probability of success remains the same on

each trial.

2/3

In this game, the player rolls 7 dice, and F is the number of dice that show a 5. So the variable is

counting the number of successes

The rolls are independent, and the probability of getting a 5 is the same on each roll,

3/3

F is a binomial variable