An unbiased die is tossed until a number greater than $4$ appears. The probability that an even number of tosses is needed is
$\frac{1}{2}$
$\frac{2}{5}$
$\frac{1}{5}$
$\frac{2}{3}$
Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of heart
From a pack of $52$ cards two cards are drawn in succession one by one without replacement. The probability that both are aces 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 $C$
One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart, is
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 not a black card.