Question

Mark the correct alternative in each of the following: A card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is
(a)$\frac{1}{13}$
(b)$\frac{9}{13}$
(c)$\frac{4}{13}$
(d)$\frac{12}{13}$

Answer 1

SOLUTION:

The correct option is (d) : 12/13

Given :  One card is drawn from a well shuffled Deck of 52 playing cards.

Total number of outcomes = 52

Let E = Event of getting not an  ace  

Number of  ace in a Deck  = 4 (1 from each suit )  

Number of  non ace cards in a Deck = 52 - 4 = 48

Number of favourable outcomes to E = 48

Probability P(E) = Number of favourable outcomes / total number of outcomes

P(E) = 48/52 = 12/13

Hence, the probability of getting not an ace  ,P(E) = 12/13  .

HOPE THIS ANSWER WILL HELP  YOU….

Answer 2

$\textsf{Answer :}$

Option D is correct.

$\textsf{Step-by-step explanation :}$

A deck of cards contain 52 cards. A deck contains 4 Queen, 4 King and 4 Jacks.

And the deck contains 4 ranks - clubs (♧), diamond (◇), spades (♤) and hearts (♡).

A deck contains 4 ace. Each one of different ranks. 1 of clubs, 1 of diamond, 1 of spade and 1 of hearts.

Now, probability -

$\large{\implies \frac{Favourable\:outcome}{Total\:number\:of\:outcome}}$

Here,

Number of favourable outcome =$52-4=28$

Total number of outcome = $52$

Probability of not getting an ace -

$\implies \frac{48}{52}$

$\implies \frac{12}{13}$

Thus, option D is correct.