If you bought a new set of four tires from manufacturer who just announced recall because 3 percent those are defective What is the probability that at least on yours defective?

To calculate the probability of at least one defective tire, we can use the complement rule. The complement of "at least one defective tire" is "no defective tires". So, first, we will calculate the probability of no defective tires:

Probability of no defective tires = (1 - 0.03)^4 = 0.97^4 = 0.885

Now, we can calculate the probability of at least one defective tire using the complement rule:

Probability of at least one defective tire = 1 - Probability of no defective tires

= 1 - 0.885

= 0.115

Therefore, the probability that at least one of your tires is defective is 0.115 or approximately 11.5%.