Question

all face cards are removed from the deck of cards and the deck is then reshuffled.then the probability of drawing a non- red ace from the new deck of card is:

Answer 1

Total number of cards in a deck = 52

Number of face cards = 12

So, Remaining deck of cards = 52 - 12 =40

Thus, total number of outcomes n(S) = 40

Now, there are 4 ace cards in total deck whether the face cards are removed from it or not.

Further, these 4 ace cards can be further divided into 2 red colour ace cards and 2 black colour (non-red) ace cards.

Number of favourable outcomes for drawing non-red ace card, that is, black ace card,
n(A) = 2

So,

Probability of getting a black ace card, P(A) = $\frac{n\left(A\right)}{n\left(S\right)}=\frac{2}{40}=\frac{1}{20}$

Hence, the answer.