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The sum of the probability of an event and the probability of its complement is 1.
24/25 or about 96 %
We are told that Namid bought 20 raffle tickets out of 500 sold. Recall that the experimental probability of an event measures the likelihood that the event occurs based on the actual results of an experiment.
P(Event)= Number of times the event occurs/Number of times the experiment is done
We want to find the probability that Namid will not win the raffle. Note that this is a complement. The sum of the probability of an event and the probability of its complement is 1.
P(Namid)= 20/500
LHS-20/500=RHS-20/500
Rewrite 1 as 500/500
Subtract fractions
a/b=.a /20./.b /20.
The probability that Namid will not win the raffle is 2425, which can be also written as 96 %.