About 99​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randomly​ selected, what is the probability both are nervous around strangersnervous around strangers​? What is the probability at least one is nervous around strangersnervous around strangers​?

Respuesta :

Picking  one person you have a 0.99 probability of being nervous

So picking a person who is not nervous would be 0.01 probability.

The probability f both being nervous would be the probability of one being nervous multiplied by the probability of the other one being nervous:

0.99 x 0.99 = 0.9801 = 98.01%

To find the probability of at least one being nervous, find the probability of both not being nervous and subtract that from 1:

The probability of both not being nervous:

0.01 x 0.01 = 0.0001

The probability of at 1 being nervous = 1 - 0.0001 = 0.9999 = 99.99%

Round the answers as needed.