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?

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.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )