Question

A survey among American adults concluded that 20% of adults believe Elvis is still alive, 10% believe they've been abducted by aliens, and 4% believe that both Elvis is still alive and they've been abducted by aliens. What is the probability that a randomly chosen adult believes that Elvis is still alive or they've been abducted by aliens.

Answer 1

Answer:

$P(Alive\ or\ Aliens) = 26\%$

Step-by-step explanation:

Given

$P(Alive) = 20\%$

$P(Aliens) = 10\%$

$P(Alive\ and\ Aliens) = 4\%$

Required

Determine $P(Alive\ or\ Aliens)$

From laws of probabilities:

$P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)$

In this case:

$P(Alive\ or\ Aliens) = P(Alive) + P(Aliens) - P(Alive\ and\ Aliens)$

$P(Alive\ or\ Aliens) = 20\% + 10\% - 4\%$

$P(Alive\ or\ Aliens) = 26\%$