A card is drawn at random from a well-shuffled deck of playing c

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 Multiple Choice QuestionsShort Answer Type

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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.


f one card is drawn from a well-shuffled deck of playing card, then possible outcome(s) are (52)
i.e.,    n(S) = 52
I. Let A be the favourable outcomes of getting a face card, then
i.e.,    n(A) = 12
Therefore,

rightwards double arrow space straight P left parenthesis straight A right parenthesis space equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 12 over 52 equals 3 over 13

II. Let B be the favourable outcomes of getting card which is neither a king nor a red card, then i.e.,    n(B) = 24

Therefore,

 rightwards double arrow space space straight P left parenthesis straight B right parenthesis equals fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 24 over 52 equals 6 over 13
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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.

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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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