The probability of an erroneous measurement is 0.4. Three independent measurements

The probability of an erroneous measurement is 0.4. Three independent measurements were made. Find the probability that one of them is wrong.

The probability of an erroneous measurement is p = 0.4.
The probability of an accurate measurement is q = 1 – p = 1 – 0.4 = 0.6.
Number of tests n = 3;
The probability that there will be k = 1 – one erroneous test is calculated using the Bernoulli formula:
P (1) = C (3,1) p q ^ 2 = 3! / (1! 2!) 0.4 0.6 ^ 2 =
= 3 0.4 0.36 = 0.432.
Answer: 0.432.