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If the probability of getting a particular result in an experiment is 75.3%, what is the probability of not getting that result? Explain your choice.

Question

If the probability of getting a particular result in an experiment is 75.3%, what is the probability of not getting that result? Explain your choice.

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Solution

The probability of an event occurring is always 1 (or 100% when expressed as a percentage). If the probability of a particular result is 75.3%, then the probability of that result not occurring is the remainder of 1 (or 100%) minus the probability of the event.

So, to calculate the probability of not getting the result, you subtract the probability of getting the result from 1 (or 100%).

Mathematically, this is expressed as:

P(not A) = 1 - P(A)

Where: P(A) is the probability of the event (in this case, getting the result), and P(not A) is the probability of the event not occurring (in this case, not getting the result).

So, if P(A) = 75.3% (or 0.753 when expressed as a decimal), then:

P(not A) = 1 - 0.753 = 0.247

So, the probability of not getting the result is 24.7% (or 0.247 when expressed as a decimal).

This problem has been solved

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