Home
Class 10
MATHS
From a pack of 52 playing cards jacks, q...

From a pack of 52 playing cards jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random.
Find the probability that the card drawn is
(i) a black queen (ii) a red card (iii) a ten
(iv) a picture card (jacks, queen and kings are picture cards).

Text Solution

Verified by Experts

Number of cards removed = ` 2+2+2+2=8`.
Total number of remaining cards = 52 - 8 = 44.
Now, there are 2 jacks, 2 queens, 2 kings and 2 aces of black colour only.
(i) Number of black queens = 2.
`:. ` P(getting a black queen) ` = 2/44 = 1/22`.
(ii) Remaining number of red cards = 26 - 8 = 18.
`:. ` P(getting a red card) = `18/44 = 9/22`.
(iii) Number of tens = 4.
` :. ` P(getting a tan) ` = 4/44 = 1/11`.
(iv) We kown that jacks, queen and kings are picture cards.
Out of 12 picture cards, it is given that 6 have been
removed. So, the remaining number of picture cards = 12 - 6 = 6.
` :. ` P(getting a picture card) ` = 6/44 = 3/22`.
Promotional Banner

Similar Questions

Explore conceptually related problems

From a pack of 52 playing cards Jacks,queens, kings and aces of red colour are removed. From the remaining,a card is drawn at random.Find the probability that the card drawn is : a black queen (ii) a red card (iii) a black jack

From a pack of 52 playing cards , Jacks , Queens and Kings of red colour red colour are removed . From the remaining , a card is drawn at random . Find the probability that drawn card is : a card of black colour .

From a deck of 52 playing cards, king, queen and jack of a club are removed and a card is drawn from the remaining cards. Find the probability that the card drawn is (i) A spade (ii) a queen (iii) A club

From a deck of playing cards , an clubs , aces and jacks are removed .The deck is shuffled well and then a card is drawn ot at random . What is the probability that the card drawn is (i) a queen (ii) a face card (iii) a red card?

One card is drawn at from a pack of 52 cards. Find the probability that the card drawn is: red and a queen.

A card is drawn at random from a pack of 52 cards.Find the probability that the card drawn is (i) the heart (ii) a red card (iii) neither a king nor a queen

A card is drawn from a pack of 52 cards. Find the probaility that the card drawn is (i) a red card (ii) a black card . (iii) ace of diamonf (iv) a queen or a jack.

A card is drawn at random from a pack of 52 cards.Find the probability that the card drawn is (i) jack (ii) the ace of spades (iii) a queen

From a pack of 52 cards, a black jack, a red queen and two black kings were removed. A card was then drawn from the remaining pack at random. Find the probability that the card drawn is : (i) a black card (ii) a king (iii) a red queen.