placing card is drawn from standard deck of 52 card what is the probability that cards a, king b, heart c, red card d, honor e, face card
well, there are 52 cards, and
4 kings
13 hearts
26 reds
no idea what an honor card is
12 face cards
The Ace, King, Queen and Jack of each suit are called "honour cards".
To find the probability of each event individually, we need to determine the number of favorable outcomes (cards satisfying the given condition) and the total number of possible outcomes (total number of cards in the deck).
a) Probability of drawing an Ace:
There are 4 Aces in a deck (one for each suit), and a total of 52 cards, so the probability is 4/52, which simplifies to 1/13.
b) Probability of drawing a King:
There are 4 Kings in a deck, so the probability is 4/52, which also simplifies to 1/13.
c) Probability of drawing a Heart:
There are 13 Hearts in a deck (one for each rank), so the probability is 13/52, which simplifies to 1/4.
d) Probability of drawing a red card:
There are 26 red cards (13 Hearts + 13 Diamonds) in a deck, so the probability is 26/52, which simplifies to 1/2.
e) Probability of drawing an honor:
Honor cards are considered to be Aces, Kings, Queens, and Jacks. So, there are 4 Aces, 4 Kings, 4 Queens, and 4 Jacks, totaling 16 honor cards. The probability is 16/52, which simplifies to 4/13.
It's important to note that for events b, c, and d, you can also simplify the probabilities by considering that event b is the same as event c (both have 1/13 probability) since all Kings are also Hearts, and event d is the same as event c (both have 1/4 probability) since all red cards are also Hearts.
Overall, the individual probabilities are:
a) 1/13
b) 1/13
c) 1/4
d) 1/2
e) 4/13