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

Giovanni da Verrazano thought that a large lake he discovered in North America was a)the Pacific Ocean. b)the Atlantic Ocean. c)the Hudson River. d)the St. Law
Government plz help! Giving brainlist three questions
what is 500 dollars at 4% for 3 years
What does the slope represent if the voltage vs current value graph
The salinity of ocean water is derived mainly from ________.
which men were not on the presidential ballet of 1860?
PLZ HELP SRRY ABOUT THE OTHER ONE GUYS
As Rome expanded, the conquered territories sent payments that honored the acceptance of the new rulers. What were those payments called
-5x+y=-2 solve system of equations by subtraction
Cells move through the cell cycle, growing and dividing as they do. No cell will be able to continue through this cycle without the energy provided by this imp