About 55​% of the population of a large country is allergic to pollenallergic to pollen. If two people are randomly​ selected, what is the probability both are allergic to pollenallergic to pollen​? What is the probability at least one is allergic to pollenallergic to pollen​?

Respuesta :

Answer:

Both = 0.3025 or 30.25%

At least one = 0.7975 or 79.75%

Step-by-step explanation:

The probability that one of the two is allergic to pollen is 55% so the probability that both are allergic is given by:

[tex]P_{both} = 0.55^{2} = 0.3025\\[/tex]

The probability of at least one of them being allergic can be given by the whole minus the probability of neither being allergic:

[tex]P_{1} = 1 - (1- 0.55)^{2} = 0.7975\\[/tex]

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