A Fair Coin Is flIpped Until a Tail fiRst Appears

question 24

Essay

A fair coin is flipped until a tail first appears, at which time no more flips are made.
(a) What is the probability that exactly five flips are made?
(b) What is the expected number of flips?

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Definitions:

Sore Throat

A condition characterized by pain, scratchiness, or irritation of the throat that often worsens when swallowing, frequently caused by viral or bacterial infections.

Ectopic

In an abnormal position; in pregnancy refers to the embryo or fetus being outside the uterus.

Cryptorchidism

A condition in which one or both of the testes fail to descend from the abdomen into the scrotum normally before birth.

Smegma

A substance made up of dead skin cells and oils, typically found in areas with skin folds such as the genital region.