Suppose That A₁,A₂,and B Are Events Where A₁ and A₂

question 85

Multiple Choice

Suppose that A₁,A₂,and B are events where A₁ and A₂ are mutually exclusive events and
P(A₁) = .7 P(A₂) = .3 P(B│A₁) = .2 P(B│A₂) = .4
Find P(A₁│B) .

• A)0.12
• B)0.26
• C)0.21
• D)0.14
• E)0.28

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Definitions:

Polynomial

A mathematical expression of finite length that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Negative Real Number

A real number that is less than zero, located to the left of zero on the number line.

Standard Form

Refers to a way of writing numbers to ensure consistency, often as a particular way of writing algebraic equations or complex numbers.

Perfect Square Trinomial

A trinomial expression in the form a^2 + 2ab + b^2 or a^2 - 2ab + b^2, which can be factored into (a + b)^2 or (a - b)^2, respectively.