A bag contains four tickets marked with numbers $112,121,211,222 .$ One ticket is drawn at random from the bag. Let $E_i(i=1,2,3)$ denote the event that $i^{\mathrm{th}}$  digit on the ticket is$2 .$Then

In an experimental performance of a single throw of a pair of unbiased normal dice, three events $E_1, E_2$ $\& E_3$ are defined as follows: 

$E_1:$ Getting a prime numbered face on each dice
$E_2:$ Getting the same number on each dice
$E_3:$ Getting a sum total of dots on two dice equal to $8.$ Then 

The probability that a bulb produced by a factory will fuse after a year of use is $0.1 .$ Then the probability that, out of $4$ such bulbs