Question

An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.

Answer 1

Probabilities are used to determine the chances of an event.

The probability that the two bags are selected for extra screening is 0.02

The given parameters are:

$n = 2$ --- number of bags

$p = 14\%$ --- the probability that a bag is selected for extra screening

The probability that the two bags are selected for extra screening is:

$P(2) = p^n$

So, we have:

$P(2) = (14\%)^2$

Express percentage as decimal

$P(2) = (0.14)^2$

$P(2) = 0.0196$

Approximate

$P(2) = 0.02$

Hence, the required probability is 0.02

Read more about probabilities at:

brainly.com/question/11234923

Answer 2

Answer:

0.02 i did khan academy pls mark brainliest

Step-by-step explanation: