If $E$ and $F$ are events with $P\,(E) \le P\,(F)$ and $P\,(E \cap F) > 0,$ then
Occurrence of $E \Rightarrow $ Occurrence of $F$
Occurrence of $F \Rightarrow $Occurrence of $E$
Non-occurrence of $E \Rightarrow $ Non-occurrence of $F$
None of the above implications holds
The two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then the probability that neither $A$ nor $B$ occurs is
A single letter is selected at random from the word “$PROBABILITY$”. The probability that the selected letter is a vowel is
There are two childrens in a family. The probability that both of them are boys is
‘$X$’ speaks truth in $60\%$ and ‘$Y$’ in $50\%$ of the cases. The probability that they contradict each other narrating the same incident is
Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
Describe the events $A$ but not $C$