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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.

Respuesta :

MrRoyal

Answer:

[tex]P(Alive\ or\ Aliens) = 26\%[/tex]

Step-by-step explanation:

Given

[tex]P(Alive) = 20\%[/tex]

[tex]P(Aliens) = 10\%[/tex]

[tex]P(Alive\ and\ Aliens) = 4\%[/tex]

Required

Determine [tex]P(Alive\ or\ Aliens)[/tex]

From laws of probabilities:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(Alive\ or\ Aliens) = P(Alive) + P(Aliens) - P(Alive\ and\ Aliens)[/tex]

[tex]P(Alive\ or\ Aliens) = 20\% + 10\% - 4\%[/tex]

[tex]P(Alive\ or\ Aliens) = 26\%[/tex]

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