$A$ game consists of tossing a one rupee coin $3$ times and noting its outcome each time. Hanif wins if all the tosses give the same result,i.e.,three heads or three tails,and loses otherwise. Calculate the probability that Hanif will lose the game.

$(i)$ $A$ lot of $20$ bulbs contains $4$ defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
$(ii)$ Suppose the bulb drawn in $(i)$ is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Complete the following statements:
$(i)$ Probability of an event $E +$ Probability of the event 'not $E$' $= \dots \dots \dots \dots \dots$
$(ii)$ The probability of an event that cannot happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$
$(iii)$ The probability of an event that is certain to happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$

Savita and Hamida are friends. What is the probability that both will have $(i)$ different birthdays? $(ii)$ the same birthday? (ignoring a leap year).

$A$ die is thrown twice. What is the probability that
$(i)$ $5$ will not come up either time?
$(ii)$ $5$ will come up at least once?

Which of the following cannot be the probability of an event?