A card is drawn at random from a pack of 52 cards. Find the prob

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

191. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability of drawing a (i) face card (ii) Card which is neither a king nor a red card.
583 Views

192.

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.

1713 Views

193.

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.

105 Views

194.

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. 

979 Views

Advertisement
195.

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

128 Views

Advertisement

196.

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) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 2 over 52 equals 1 over 26

(ii) Let B be the favourable outcomes of getting either a black card or a king, then n(B) = 28
Therefore,

P(B) = fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 28 over 52 equals 7 over 13

(iii) Let C be the favourable outcomes of getting black and a king, then n(C) = 2
Therefore,

P(C) = fraction numerator straight n left parenthesis straight C right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 2 over 52 equals 1 over 26

(iv) Let D be tine favourable outcomes of getting a jack, queen or a king then n(D) = 12
Therefore,

P(D) = fraction numerator n left parenthesis D right parenthesis over denominator n left parenthesis S right parenthesis end fraction equals 12 over 52 equals 3 over 13

(v) Let E be the favourable outcomes of getting neither a Heart nor a king, then n(E) = 36
Therefore,

P(E) = fraction numerator straight n left parenthesis straight E right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 36 over 52 equals 9 over 13

(vi) Let F be the favourable outcomes of getting spade or an ace, then
n(F) = 16
Therefore,

P(F) = fraction numerator straight n left parenthesis straight F right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 16 over 52 equals 4 over 13

(vii) Let G be the favourable outcomes of getting neither an ace nor a king, then n(G) = 44
Therefore,

P(G) = fraction numerator straight n left parenthesis straight G right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 44 over 52 equals 11 over 13

8516 Views

Advertisement
197. A king, queen and jack of diamonds are removed from a pack of 52 cards and then the pack is well-shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) diamonds, (ii) a jack.
922 Views

198.

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.

185 Views

Advertisement
199.

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.

188 Views

200. All cards of ace, jack and queen are removed from a deck of playing cards. One card is drawn at random from the remaining cards, find the probability that the card drawn is

(a)    a face card
(b)    not a face card

878 Views

Advertisement