Question

All the red face cards are removed from a deck of 53 playing cards a card is drawn at random from the living cards find the probability of a red colour queen a surface card

Answer 1

Playing cards include thirteen ranks of each of the four suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three face cards a king, queen & jack.

Therefore, in total there are 12 face cards (3 face cards of each suit × 4 suits).

Each suit has one queen face and there are 4 suits. So, the deck contains 4 queen face. Number of event, n(E)=4 & number of all possible events, n(s)=12.

Therefore

P(E)=n(E)/n(s)=4/12=1/3

Answer 2

Answer-:

Total no. of cards=52

No. of red face cards=6 ( 3 of diamond and 3 of hearts)

Thus, no. of cards remaining in deck = 52-6

= 46

Probability = No. of favourable outcomes ÷ No. of total outcomes

As all red face cards are removed,

Probability of getting a red colour queen is

Probability = 0÷46

Thus, Probability is 0.