Pls solve this qs There are 10 lamps in a hall Each one of them can be switched - Maths - Permutations and Combinations

Question

Pls solve this qs
There are 10 lamps in a hall Each one of them can be switched
on independently What is the probability that the hall will be
illuminated for random selection of any one position of all the
switches?

Aarushi Mishra · Accepted Answer

There are 10 lamps so there will be 10 switches
There are two positions for a switch, one correspond to switched on state and the other to switched off state
Now all the switches are moved to the same position, therefore either all are on or all are offThere are only 2 possibilities out of which 1 is favourable corresponding to all switches being in swtiched onPhall is illuminated=Pall switches being in swtiched on=12

Pls solve this qs There are 10 lamps in a hall. Each one of them can be switched on independently. What is the probability that the hall will be illuminated for random selection of any one position of all the switches?

Pls solve this qs
There are 10 lamps in a hall. Each one of them can be switched
on independently. What is the probability that the hall will be
illuminated for random selection of any one position of all the
switches?