Belleville high school offers classes on three different foreign languages. let a be the event that a student is in eleventh grade, and let b be the event that a student is enrolled in french class. which statement is true about whether a and b are independent events?

a and b are independent events because p(a∣b) = p(a).
a and b are independent events because p(a∣b) = p(b).
a and b are not independent events because p(a∣b) ≠ p(a).
a and b are not independent events because p(a∣b) ≠ p(b).

A and B are independent events because P(A|B) = P(A) THE ANSWER IS A

Answer with explanation:

Independent events:→ Two events are known to be independent of each other, if the probability of one event is not affected by the probability of the other event . For example,Selecting a red color ball from 6 balls (3 blue +3 black) is independent of selecting a chair in which there are(5 black +5 grey).

There are two events

A= A student is in eleventh grade.

B=A student is enrolled in French class

P(A∣B)=Probability that student is in 11 nth class and he or she has taken french.

Two events A and B are independent ,if

P(A∩B)=P(A)*P(B) and,

Option A:→ A and B are independent events because P(A∣B) = P(A).

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc