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 throw of a die, what is the probability of getting a number less than $7$
Three letters are to be sent to different persons and addresses on the three envelopes are also written. Without looking at the addresses, the probability that the letters go into the right envelope is equal to
Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.
A bag contains $5$ white, $7$ red and $8$ black balls. If four balls are drawn one by one without replacement, what is the probability that all are white
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