Question

One card is drawn from a pack of 52cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card is drawn is
(a) a face card
(b) a red cardboard​

Answer 1

(a). 12/52=3/12

(b). 13/52=1/4

Answer 2

Answer:

(a) $3/13$

(b) $1/2$

Step-by-step explanation

to solve basic probabilistic problem

you need to know, how much case that there's exist

and how much case that meet the condition

for a deck of a card, from the question, there's $52$ different cards (normal playing cards)

so if i pick one of card from the deck

there are $52$ different possible cards

(a)

for this condition, we have $12$ face cards

(Jack, Queen, King in every symbol)

so our probability to get face card in full card deck is

$12/52 = 3/13$

(b)

for this condition, we have Heart, and Diamonds.

Every symbol has $13$ different cards values (from As until $10$, and $3$ face cards)

so we have in total $26$ red cardboards

so our probability to get a red cardboards is

$26/52 = 1/2$