Use the complement rule for probabilities Question

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Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these flights, 28 are considered

to be "on-time."

If you chose a particular flight at random, what is the probability that it would not be on-time? Express your answer as a

fraction.

Provide your answer below:

The probability that a particularly randomly chosen flight will not be on time is 1/3

Step-by-step explanation:

The number of flights available between New York and Los Angelis = 42 flights

The number of flights that are considered to be on time = 28 flights

The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time

The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)

The probability that the flight will be on time = 28/42 = 2/3

∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3

The probability that a particularly randomly chosen flight will not be on time = 1/3.