Question

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting
(i) a king of red colour
(ii) a face card
(iii) a red face card
(iv) the jack of hearts
(v) a spade
(vi) the queen of diamonds
​

Answer 1

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Total number of possible outcomes = 52

P(E) = (Number of favourable outcomes/ Total number of outcomes)

(i) Total numbers of king of red colour = 2

P (getting a king of red colour) = 2/52 = 1/26 = 0.038

(ii) Total numbers of face cards = 12

P (getting a face card) = 12/52 = 3/13 = 0.23

(iii) Total numbers of red face cards = 6

P (getting a king of red colour) = 6/52 = 3/26 = 0.11

(iv) Total numbers of jack of hearts = 1

P (getting a king of red colour) = 1/52 = 0.019

(v) Total numbers of king of spade = 13

P (getting a king of red colour) = 13/52 = ¼ = 0.25

(vi) Total numbers of queen of diamonds = 1

P (getting a king of red colour) = 1/52 = 0.019

Answer 2

Answer:

One card is drawn from a well-shuffled deck of 52 cards.

So the total number of cards = 52

So the total number of possible outcomes = 52

(i) Let A be the event that the card a king of red colour

Then the number of possible outcomes for the event A is 2

So the required probability = 22/52 = 1/26

(ii) Let B be the event that the card a FACE CARD

Then the number of possible outcomes for the event B is 12

So the required probability = 12/52 = 3/13

(iii) Let G be the event that the card a RED FACE CARD

Then the number of possible outcomes for the event G is 6

So the required probability = 6/52 = 3/26

(iv)LET H be the event that the card JACK OF HRART

Then the number of possible outcomes for the event H is 1

So the required probability = 1/52

(v) Let K be the event that the card A SPADE

Then the number of possible outcomes for the event K is 13

So the required probability =13/52 = 1/4

(vi) Let L be the event that the card QUEEN OF DIMONDS

Then the number of possible outcomes for the event L is 2

So the required probability = 2/52 = 1/26

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