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The probability they choose the same number is 0.1 or 1/10.
What is probability?
Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between zero and one represents the likelihood of an event, with 0 roughly denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher. The flip of a fair (impartial) coin serves as a straightforward illustration. Given that the coin is fair, the outcomes "heads" and "tails" are equally likely; therefore, the likelihood of "heads" equals the possibility of "tails"; since no other outcomes seem to be possible, the likelihood of either "heads" as well as "tails" is 1/2 (also known as 0.5 or 50%).
Whichever number the professor picks doesn't matter. The only thing that matters is that the student matches the predetermined number.
That probability is one-tenth(1/10) for any given number.
Hence, the probability they choose the same number is 0.1 or 1/10.
To learn more about probability
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