Red kings, queens and jacks are removed from a deck of 52 playin

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 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.
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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.

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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.

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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. 

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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

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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.

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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.
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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.

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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.


If Red kings, queens and jacks are removed from a deck at 52 cards, then n(S) = 52
(i) Let ‘A’ be the favourable outcomes of getting a king, then
n(A) = 02

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 02 over 42 equals 1 over 21
(ii) Let 'B' be the favourable outcomes of getting 'a red card' their

               n(B) = 20

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 20 over 42 equals 10 over 21

(iii) Let 'C' be the favourable outcomes of getting 'a spade'. Then

              n(C) = 11

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 11 over 42

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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

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