card is drawn at random from a pack of well shuffled 52 playing card . Find the probability that the card drawn is - (1) an ace (2) a spade (3) a face card.
Answers
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
Step-by-step explanation:
Answer:
1). \frac{1}{13}
1/13
2). \frac{1}{4}
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,
\begin{gathered}Probability=\frac{Favourable\ Outcomes}{Total\ Possibilities} \\Probability =\frac{4}{52} \\Probability =\frac{1}{13}\end{gathered}
Probability=
Total Possibilities
Favourable Outcomes
Probability= 4/52
Probability= 1/13
2). Probability of picking one from spades will be given by,
\begin{gathered}Probability=\frac{Favourable\ Outcomes}{Total\ Possibilities} \\Probability =\frac{13}{52} \\Probability =\frac{1}{4}\end{gathered}
Probability=
Total Possibilities
Favourable Outcomes
Probability= 13/52
Probability= 1/4