True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events​

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE

Step-by-step explanation:

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

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.