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The trademark of a certain product is "MAXAM". Two letters fell off and someone picked it up and put it back randomly. Find the probability that it is still "MAXAM" after replacement.

The probability that it is still "MAXAM" after replacement is 0.6, 60.

There are C(5,3) = 10 ways to drop in total. Two of them are the same letters, and eight are different letters. Half of the different letters can be recovered, so P = (2 0.5*8)/10 = 0.6.

Under certain conditions, n tests are repeated. nA is the number of times event A occurs in n tests. If n gradually increases, the frequency nA/n gradually stabilizes around a certain value p. , then the value p is called the probability of event A occurring under this condition, recorded as P(A)=p. This definition became the statistical definition of probability.

Extended information:

Probability is also called "probability". It reflects the probability of a random event occurring. Random events are events that may or may not occur under the same conditions. For example, if you randomly select one product from a batch of genuine and defective products, "the one you get is the genuine product" is a random event. Suppose a random phenomenon is tested and observed n times, and event A occurs m times, that is, its frequency of occurrence is m/n. After a lot of repeated trials, m/n often gets closer and closer to a certain constant. This constant is the probability of occurrence of event A, often expressed as P (A).