Question

A card is drawn out of a deck of cards at random. What is the probability of the card being not an ace?

Answer 1

Given :

• A card is drawn at random from a well shuffled pack of 52 playing cards .

To Find :

• Probability of getting a card which is not ace .

Solution :

$\longmapsto\tt{Total\:Cards=52}$

$\longmapsto\tt{Favourable\:Outcomes=52-no.\:of\:ace}$

$\longmapsto\tt{52-4}$

$\longmapsto\tt\bf{48}$

Using Formula :

$\longmapsto\tt\boxed{Probability=\dfrac{No.\:of\:favourable\:Outcomes}{Total\:no.\:of\:Outcomes}}$

Solution :

$\longmapsto\tt{\cancel\dfrac{48}{52}}$

$\longmapsto\tt\bf{\dfrac{12}{13}}$

So , The Probability of getting a spade is 12/13 .

_______________________

Probability :

It is defined as chances of occuring or happening of an event.

• Probability of an event can never be negative.
• Probability of an event always lies between 0 and 1 .

_______________________

Answer 2

Answer:

Given:-

$\bullet$A card is drawn out of a deck of cards at random. What is the probability of the card being not an ace?

S O L U T I O N:

$:\dashrightarrow$Total number of outcomes = 52

$:\dashrightarrow$Favourable outcomes = Four cards are of Ace and 4 cards are of king = 8

Total number of favourable outcomes

$\sf :\implies{52 - 8}$

$\bf :\implies{44}$

$\boxed{\tt{Probability :\dashrightarrow \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes}}}$

Required probability = P[(Neither an ace nor a king)]

$\sf :\implies{\cancel{\dfrac{44}{52}}}$

$\sf :\implies{\dfrac{11}{13}}$

Hence, the probability that the card  drawn is neither an ace nor a king

$\boxed{\bf :\longmapsto{\frac{11}{13}}}$

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Final answer:-

$\qquad \: \: \: \: \: \: \: \: \: \: \: \boxed{\underbrace{\bf\blue :\implies{\dfrac{11}{13}}}}$

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HOPES IT HELPS!:)