Natural red hair consists of two genes. People with red

QUESTION:

Natural red hair consists of two genes. People with red hair have two dominant genes, two regressive genes, or one dominant and one regressive gene. A group of 1000 people was

categorized as follows:

Let 𝐴 denote the event that a person has a dominant red hair gene, and let 𝐵 denote the event that a person has a regressive red hair gene. If a person is selected at random from this group,

compute the following:

(a) \(P(A)\)

(b) \(P(A \cap B)\)

(c) \(P(A \cup B)\)

(d) \(P\left(A^{\prime} \cap B\right)\)

(e) \(P(A \backslash B)\)

(f) Probability that the selected person has red hair

Equation transcription:

Text transcription:

P(A)

P(A cap B)

P(A cup B)

P(A^{prime} cap B)

P(A backslash B)