Question

The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52. From the given scenario, we can conclude that events A and B are . NextReset

Answer 1

The quick answer all you edmentum/plato users are looking for is

dependent events since P(A and B) is not equal to P(A) * P(B)

Answer 2

Events A and B are called independent, when

$Pr(A\cap B)=Pr(A)\cdot Pr(B),$

otherwise events A and B are dependent.

The events A, B and A∩B are:

• A - Jane will go to a ballgame on Monday;
• B - Kate will go to a ballgame on Monday;
• A∩B - Kate and Jane both go to the ballgame on Monday.

$Pr(A)=0.73,\ Pr(B)=0.61,\ Pr(A\cap B)=0.52.\\ \\ Pr(A)\cdot Pr(B)=0.73\cdot 0.61=0.4453\neq 0.52=Pr(A\cap B).$

Answer: events A and B are dependent