Question

A pack of cards is shuffled well after all the
face card have been to removed. Then, the
probability of drawing a non red ace from the
new pack is​

Answer 1

Given :-

From a pack of cards all face cards had been removed.

To find :-

• P(drawing a non red ace card)

Solution :-

Total number of cards = 52

__________________________

• Face cards = king, Queen, Jack

• Total number of face cards = 12

__________________________

Total number of cards when all face cards are removed = 52 - 12

= 40

__________________________

• Number of Ace cards = 4

• Number of a non red ace cards = 2

__________________________

Now,

P(drawing a non red ace card) = 2/40

= 1/20

__________________________

Answer 2

Given :

• A pack of cards is shuffled after all theface card have been to removed.

To Find :

• Probability of drawing a non red ace.

Solution :

A pack of card contains → 52 cards.

Total number of face cards → 12 cards.

Given that, face cards are removed.

•°• Total number of cards :

• 52 - 12
• 40

•°• n (S) = 40

Now, number of ace cards : 4 cards

Number of non ace cards : 2 cards

Let A be the event that the card drawn is a non ace card.

n(A) = 2

Probability of event A :

➣ $\mathtt{P(A)\:=\:{\dfrac{n(A)}{n(S)}}}$

➣ $\mathtt{P(A)\:=\:{\dfrac{2}{40}}}$

➣ $\mathtt{P(A)\:=\:{\dfrac{1}{20}}}$

$\large{\boxed{\sf{\blue{Probability\:of\:drawing\:a\:non\:ace\:card\:=\:{\dfrac{1}{20}}}}}}$