Probability axioms. In Kolmogorov's probability theory, the probability P of some event E, denoted P ( E ) {\displaystyle P(E)} , is usually defined such that P satisfies the Kolmogorov axioms, named after the Russian mathematician Andrey Kolmogorov, which are described below.
Pernicious anemia due to lack of intrinsic factor is not preventable. Vitamin B12 deficiency due to other causes may be prevented with a balanced diet or with supplements. Pernicious anemia can be easily treated with either injections or pills of vitamin B12. If the symptoms are severe, injections are typically recommended initially.
People who have pernicious anemia can't absorb enough vitamin B12 from food. This is because they lack intrinsic (in-TRIN-sik) factor, a protein made in the stomach. A lack of this protein leads to vitamin B12 deficiency. Other conditions and factors also can cause vitamin B12 deficiency. Examples include infections, surgery, medicines, and diet. Technically, the term pernicious anemia refers to vitamin B12 deficiency due to a lack of intrinsic factor. Often though, vitamin B12 deficiency due to other causes also is called pernicious anemia. This article discusses pernicious anemia due to a lack of intrinsic factor and other causes.