Question

Which of these is a geometric experiment?A. Rolling a die 10 times and rolling a one exactly 2 timesB. Drawing 1 card from each of 5 different decks of cards and getting 2 clubsC. Rolling a die and getting your first four on the 6th rollD. Flipping a coin 16 times and getting exactly 2 heads

Answer 1

ROLLING A DIE AND GETTING YOUR FIRST FOUR ON THE 6TH ROLL

Explanation:

Answer 2

The geometric experiment is:

Option: C

C. Rolling a die and getting your first four on the 6th roll.

Explanation:

In statistics, geometric distribution is a distribution which is used to find the probability that the first success is obtained in kth experiment such that the probability of success is denoted by p.

The probability that the first success is obtained in the kth trial is given by:

`P(X=k)=(1-p)^(k-1)* p`

Hence, among the given option the example of geometric distribution is:

C. Rolling a die and getting your first four on the 6th roll.

( Here we have k=6 and p=1/6 ( The probability of getting a 4 on rolling a die ) )