A Number Between 1 and 10, Inclusive, Is Randomly Chosen $$\text { Find } P ( A \mid B ) \text { and } P ( B \mid A ) \text {. }$$

question 24

Essay

A number between 1 and 10, inclusive, is randomly chosen. Events A and B are defined as follows.
A: {The number is even}
B: {The number is less than 7} $$\text { Find } P ( A \mid B ) \text { and } P ( B \mid A ) \text {. }$$

---

Definitions:

Linkage Disequilibrium

The non-random association of alleles at two or more loci, not necessarily on the same chromosome, which can influence genetic traits and disease risks.

Physical Linkage

The adjacency of two or more loci on the same chromosome.

Genetic Recombination

The exchange of genetic material between paired chromosomes during meiosis. Recombination can form new combinations of alleles and is a source of heritable variation.

Heritability

A measure of how much of the variation in a trait within a population is due to genetic differences among individuals in that population.