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 blackface card.
(iv) a Jack of hearts.
(v) a spade
(vi) a queen of diamond.
Five cards - the ten, jack, queen, king and ace of diamonds are well-shuffled with their face down wards. One card is then picked up at random.
(i) What is the probability that the card is a queen?
(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace (b) a queen.
The king, queen and jack of clubs are removed from a deck of 52 cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting
(i) a heart (ii) a kitty (iii) a club (iv) the 1O' of heart.
If 2 black kings and 2 red aces are removed from a deck of 52 cards, find the probability of getting
(i) ati ace of heart
(ii) a king
(iii) a ace
(iv) a heart
(v) a red card
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is
(i) n black king
(ii) either a black card or a king
(iii) black and a king
(iv) a jack, queen or a king
(v) neither a heart nor a king
(vi) spade or an ace
(vii) neither an ace nor a king.
Total number of all possible outcomes = 52.
i.e., n( S) = 52
(i) Let A be the favourable outcomes of getting a black king, then
n( A) = 2
Therefore,
P(A) =
(ii) Let B be the favourable outcomes of getting either a black card or a king, then n(B) = 28
Therefore,
P(B) =
(iii) Let C be the favourable outcomes of getting black and a king, then n(C) = 2
Therefore,
P(C) =
(iv) Let D be tine favourable outcomes of getting a jack, queen or a king then n(D) = 12
Therefore,
P(D) =
(v) Let E be the favourable outcomes of getting neither a Heart nor a king, then n(E) = 36
Therefore,
P(E) =
(vi) Let F be the favourable outcomes of getting spade or an ace, then
n(F) = 16
Therefore,
P(F) =
(vii) Let G be the favourable outcomes of getting neither an ace nor a king, then n(G) = 44
Therefore,
P(G) =
All the three cards of spades are removed from a well-shuffled pack of 52 cards. A card is drawm at random from the remaining pack. Find the probability of getting.
(a) a black face card (b) a queen (c) a black card.
Red kings, queens and jacks are removed from a deck of 52 playing cards and then well shuffled. A card is drawn from the remaining cards. Find the probability of getting
(i) a king, (ii) a red card, (iii) a spade.
(a) a face card
(b) not a face card