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.
Total number of all possible outcomes = 52
i.e., n(S) = 52
(i) Let E be the favourable outcomes of getting a king of red colour, then n(E)= 2 Therefore,
P(E) =
(it) Let F be the favourable outcomes of getting a face card, then
n(F) = 12
Therefore,
P(F) =
(iii) Let G be the favourable outcomes of a red face card, then
n(G) = 6
P(G) =
(iv) Let H be the favourable outcomes of getting a jack from the hearts, then n( H) = 1
Therefore,
P(H) =
(v) Let I be the favourable outcomes of getting a spade, then
n(I) = 13
Therefore:
P(l) =
(vi) Let J be the favourable outcomes of getting a queen of diamonds, then n(J) = 1
Therefore,
P(J) =
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.
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