Math, asked by ayushchadha, 3 months ago

Probability of flash cards of 52 playing cards

Answers

Answered by Pihu1488
1

Answer:

Number of favourable outcomes i.e. 'a king of red colour' is 2 out of 52 cards. Number of favourable outcomes i.e. 'a card of diamond' is 13 out of 52 cards. Total number of king is 4 out of 52 cards. Number of favourable outcomes i.e. 'a king or a queen' is 4 + 4 = 8 out of 52 cards.

Step-by-step explanation:

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Answered by surbhisoni2008
1

Step-by-step explanation:

Total number of card in a deck = 52

Card removed king, queen and jack of clubs

Therefore, remaining cards = 52 - 3=49

Therefore, number of favorable outcomes = 49

(i) a heart

Number of hearts in a deck of 52 cards= 13

Therefore, the probability of getting ‘a heart’

               Number of favorable outcomes

P(A) =     Total number of possible outcome

      = 13/49

(ii) a queen

Number of queen = 3

[Since club’s queen is already removed]

Therefore, the probability of getting ‘a queen t’

               Number of favorable outcomes

P(B) =     Total number of possible outcome

      = 3/49

(iii) a club

Number of clubs in a deck in a deck of 52 cards = 13

According to the question, the king, queen and jack of clubs are removed from a deck of 52 playing cards In this case, total number of clubs = 13 - 3 = 10

Therefore, the probability of getting ‘a club’

               Number of favorable outcomes

P(C) =     Total number of possible outcome

      = 10/49

(iv) ‘9’ of red color

Cards of hearts and diamonds are red cards

The card 9 in each suit, hearts and diamonds = 1

Therefore, total number of ‘9’ of red color = 2

Therefore, the probability of getting ‘9’ of red color

               Number of favorable outcomes

P(D) =     Total number of possible outcome

      = 2/49

2. All kings, jacks, diamonds have been removed from a pack of 52 playing cards and the remaining cards are well shuffled. A card is drawn from the remaining pack. Find the probability that the card drawn is:

(i) a red queen

(ii) a face card

(iii) a black card

(iv) a heart

Solution:

Number of kings in a deck 52 cards = 4

Number of jacks in a deck 52 cards = 4

Number of diamonds in a deck 52 cards = 13

Total number of cards removed = (4 kings + 4 jacks + 11 diamonds) = 19 cards

[Excluding the diamond king and jack there are 11 diamonds]

Total number of cards after removing all kings, jacks, diamonds = 52 - 19 = 33

(i) a red queen

Queen of heart and queen of diamond are two red queens

Queen of diamond is already removed.

So, there is 1 red queen out of 33 cards

Therefore, the probability of getting ‘a red queen’

               Number of favorable outcomes

P(A) =     Total number of possible outcome

      = 1/33

(ii) a face card

Number of face cards after removing all kings, jacks, diamonds = 3

Therefore, the probability of getting ‘a face card’

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