The conditional probability p(b/a) is the probability the event b occurs given that event a has occurred. which formula can be used to determine this conditional probability?

Step-by-step explanation:  We know what is conditional probability. It is defined as follows -

Given any two events A and B, the conditional probability of B given A is defined as the probability of happening of event B with the condition that the event A has already occured.

Mathematically, it is written as P(B/A) and its formula is given by the quotient of the probability of the joint of events B and A to the probability of event A.

i.e,

This is the required formula.

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.