In: Statistics and Probability
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
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