Question

A card is randomly chosen from a standard deck of cards. Find each probability.

a) P(2 of shades)
b) P(heart)
c) P(7 or jack)
d) P(face card)
e) P(black 10)
f) P(red or ace)

Answer 1

The probabilities for various events when drawing a card from a standard deck can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Step-by-step explanation:

a) The probability of choosing a 2 of spades from a standard deck of cards is 1/52, because there is 1 card that is a 2 of spades out of a total of 52 cards.

b) The probability of choosing a heart from a standard deck of cards is 1/4, because there are 13 hearts out of a total of 52 cards.

c) The probability of choosing a 7 or a jack from a standard deck of cards is 8/52, because there are 4 sevens and 4 jacks out of a total of 52 cards.

d) The probability of choosing a face card from a standard deck of cards is 12/52, because there are 12 face cards (kings, queens, and jacks) out of a total of 52 cards.

e) The probability of choosing a black 10 from a standard deck of cards is 2/52, because there are 2 black 10s (10 of spades and 10 of clubs) out of a total of 52 cards.

f) The probability of choosing a red card or an ace from a standard deck of cards is 20/52, because there are 26 red cards and 4 aces out of a total of 52 cards.