Question

A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is -
(1) an ace.
(2) a spade.

Answer 1

Answer:

1/13

1/4

Step-by-step explanation:

A playing card has 52 Cards

four type of cards

13 Clubs

13 Heart

13 Spade

13 Diamond

Aces = 4  ( 1 from each type)

probability that the card drawn is an ace  = Number of aces / Total Cards

= 4/52

= 1/13

probability that the card drawn is spade  = Number of spade / Total Cards

= 13/52

= 1/4

Answer 2

Answer:

1). $\frac{1}{13}$

2). $\frac{1}{4}$

Step-by-step explanation:

In the question,

Total number of cards in the deck = 52

Total number of aces in the deck of the playing cards = 4

Total number of Spades = 13

Total number of Clubs = 13

Total number of Hearts = 13

and,

Total number of Diamonds = 13

So,

1). Probability of picking an ace would be given by,

$Probability=\frac{Favourable\ Outcomes}{Total\ Possibilities} \\Probability =\frac{4}{52} \\Probability =\frac{1}{13}$

2). Probability of picking one from spades will be given by,

$Probability=\frac{Favourable\ Outcomes}{Total\ Possibilities} \\Probability =\frac{13}{52} \\Probability =\frac{1}{4}$