Will mark brainliest and 50pts to correct answer!
the table shows the probabilities of winning or losing when the team is playing away or is playing at home.
(a) are the events “winning” and “playing at home” independent? explain why or why not.
(b) are the events “losing” and “playing away” independent? explain why or why not.

A)The events "winning" and "playing at home" is independent.

b) The events "lossing" and "playing away" is independent.

Step-by-step explanation:

Independent Events: Two events are dependent if the result of the second event depends on the result of the first events.

Dependent Events: Two events are independent if the result of the second event is not affected by the result of the first event.

a) The events "winning" and "playing at home" is independent because the result of the second event depends on the result of the first events.

b) The events "lossing" and "playing away" is independent because the result of the second event depends on the result of the first events.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.