Question

In: Statistics and Probability

probability question s4

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then shuffled. A card is drawn from the remaining cards. Find the probability of getting:

 

(i) a heart

 

(ii) a queen

 

(iii) a club

Solutions

Expert Solution

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= 13/49

(ii) a queen

Number of queen = 3

[Since club’s queen is already removed]

Therefore, the probability of getting ‘a queen t’= 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’ = 10/49


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