Question

Drawing a card from a well shuffled ordinary deck of $52$ playing cards: the events ''card drawn is sapde'' and ''card drawn is ace'' are

• A. Mutually exclusive
• B. Equally likely
• C. Forming an exhaustive system
• D. None of these

Answer 1

The correct option is D None of these

The sample space of the experiment $S$ will contain $52$ elements.
Let $A$ event be ''card drawn is sapde'' and
$B$ event be ''card drawn is ace''
Sample space of $A$ will have $13$ elements
Sample space of $B$ will have $4$ elements
$\therefore A\cup B\ne S$
and $A\cap B\ne \varphi$
($\because$ Ace card of spade is common between $A$ and $B$)