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.

A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552.

Which statement is true about whether A and B are independent events?

Question

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.

A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552.

Which statement is true about whether A and B are independent events?

foxey3 · Answer

Answer with explanation:

Independent activities:→ Two activities are recognized to be impartial of every other, if the chance of 1 occasion isn't tormented by the chance of the opposite occasion . For example,Selecting a crimson colour ball from 6 balls (three blue +three black) is impartial of choosing a chair wherein there are(five black +five grey).

There are activities

A= A pupil is in 11th grade.

B=A pupil is enrolled in French magnificence

P(A∣B)=Probability that pupil is in eleven nth magnificence and she or he has taken french.

Two activities A and B are impartial ,if

P(A∩B)=P(A)*P(B) and,

Option A:→ A and B are impartial activities due to the fact P(A∣B) = P(A).