A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.
Let $A$ be the event in which the card drawn is an ace of spades.
Accordingly, $n(A)=1$
$\therefore P(A)=\frac{\text { Number of outcomes favourable to } A}{\text { Total number of possible outcomes }}=\frac{n(A)}{n(S)}=\frac{1}{52}$
A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or king of heart is
A determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that the determinant chosen is non-zero is
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A coin is tossed three times, consider the following events.
$A: $ ' No head appears ', $B:$ ' Exactly one head appears ' and $C:$ ' Atleast two heads appear '
Do they form a set of mutually exclusive and exhaustive events?
Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.