In drawing of a card from a well shuffled ordinary deck of playing cards the events card drawn is spade' and 'card drawn is an ace' are

Question

In drawing of a card from a well shuffled ordinary deck of playing cards the events card drawn is spade' and 'card drawn is an ace' are (A) mutually exclusive (B) equally likely (C) forming an exhaustive system (D) none of these

Tardigrade Admin · Accepted Answer

Let A: card is spade B: card is an ace. P(A)=(13/52) P(B)=(4/52) P(A ∩ B)=(1/52)

Q. In drawing of a card from a well shuffled ordinary deck of playing cards the events card drawn is spade' and 'card drawn is an ace' are

mutually exclusive

equally likely

forming an exhaustive system

none of these

Let $A$ : card is spade
$B$ : card is an ace.
$P (A) = \frac{13}{52}$
$P (B) = \frac{4}{52}$
$P (A \cap B) = \frac{1}{52}$

Q. In drawing of a card from a well shuffled ordinary deck of playing cards the events card drawn is spade' and 'card drawn is an ace' are

mutually exclusive

equally likely

forming an exhaustive system

none of these

Let A : card is spade B : card is an ace. P(A)=5213​ P(B)=524​ P(A∩B)=521​

Let $A$ : card is spade
$B$ : card is an ace.
$P (A) = \frac{13}{52}$
$P (B) = \frac{4}{52}$
$P (A \cap B) = \frac{1}{52}$