rebekahdawn4168 rebekahdawn4168
  • 20-02-2020
  • Mathematics
contestada

A single fair die is rolled. Let events A={2,4}, and B={1,2,5}. Event A is independent with event B. True or False?

Respuesta :

khansawaqar7 khansawaqar7
  • 20-02-2020

Answer:

TRUE

Step-by-step explanation:

Event A and event B will be independent if

P(A∩B)=P(A)*P(B)

A={2,4}

B={1,2,5}

There are 6 outcomes when die is rolled.

n(S)=6

A∩B={2}

P(A∩B)=n(A∩B)/n(S)=1/6

P(A)=n(A)/n(S)=2/6=1/3

P(B)=n(B)/n(S)=3/6=1/2

P(A)*P(B)=1/3*1/2=1/6

As,

P(A∩B)=P(A)*P(B)

So, event A and event B are independent.

Answer Link

Otras preguntas

Which event led France and Britain to declare war on Germany in 1939? A. Hitler's invasion of Austria B. Hitler's attempt to annex the Czechoslovakian Sudetenla
The seeds for European economic dominance over the rest of the world were planted during the _____.
One interpretation of the painting An Allegory with Venus and Cupid, by Bronzino, is that the A. represent a stage on which some are heroes and some are villain
round 5.53 to one decimal place
Given the function f defined by the formula f(x)=2x+1 find the following A. f(4) B.f(-5) C.f(0) D.f(1/2) please show your work
The Eighteenth Amendment, "Prohibition," was reversed by the _______ Amendment.
What was the relationship between the second great awakening in and the reform era?
What would happen to the moon if earth stopped exerting the force of gravity on it?
what is a unit equal 1/1000 of a liter called
solve 247 divided by 10 to the second power 247 divided by 10 to the second power