Question

A Gallup poll reports that 52% of American teenagers believe in astrology. If this percentage is true for the general population, find the probability that if 6 American teenagers are chosen at random, all of them believe in astrology.

Answer 1

Alright, so if the probability of a teenager believing is 52% (or 0.52 by moving the decimal to the left by 2), then the probability of one teenager is 0.52. For 2 in a row, it's 0.52*0.52 and so on until we get to 0.52^6 for 6 people which is around 0.01977