Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements :
$(S1)$ : If $P ( A )=0$, then $A =\phi$
$( S 2)$ : If $P ( A )=$, then $A =\Omega$
Then
only $(S1)$ is true
only $(S2)$ is true
both $(S1)$ and $(S2)$ are true
both $(S1)$ and $(S2)$ are false
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
An anti aircraft gun take four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shot are $0.4, 0.3, 0.2$ and $0.1$ respectively. The probability that the gun hit the plane is :-
Three coins are tossed once. Find the probability of getting $3$ tails.
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a diamond not an ace
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a black card (i.e., a club or, a spade)