A card is drawn at random from a pack of well shuffled 52 cards. The probability of getting a queen is
Answers
n a playing card there are 52 cards.
Therefore the total number of possible outcomes = 52
(i) ‘2’ of spades:
Number of favorable outcomes i.e. ‘2’ of spades is 1 out of 52 cards.
Therefore, probability of getting ‘2’ of spade
Number of favorable outcomes
P(A) = Total number of possible outcome
= 1/52
(ii) a jack
Number of favorable outcomes i.e. ‘a jack’ is 4 out of 52 cards.
Therefore, probability of getting ‘a jack’
Number of favorable outcomes
P(B) = Total number of possible outcome
= 4/52
= 1/13
(iii) a king of red color
Number of favorable outcomes i.e. ‘a king of red color’ is 2 out of 52 cards.
Therefore, probability of getting ‘a king of red color’
Number of favorable outcomes
P(C) = Total number of possible outcome
n a playing card there are 52 cards.
Therefore the total number of possible outcomes = 52
(i) ‘2’ of spades:
Number of favorable outcomes i.e. ‘2’ of spades is 1 out of 52 cards.
Therefore, probability of getting ‘2’ of spade
Number of favorable outcomes
P(A) = Total number of possible outcome
= 1/52
(ii) a jack
Number of favorable outcomes i.e. ‘a jack’ is 4 out of 52 cards.
Therefore, probability of getting ‘a jack’
Number of favorable outcomes
P(B) = Total number of possible outcome
= 4/52
= 1/13
(iii) a king of red color
Number of favorable outcomes i.e. ‘a king of red color’ is 2 out of 52 cards.
Therefore, probability of getting ‘a king of red color’
Number of favorable outcomes
P(C) = Total number of possible outcome
n a playing card there are 52 cards.
Therefore the total number of possible outcomes = 52
(i) ‘2’ of spades:
Number of favorable outcomes i.e. ‘2’ of spades is 1 out of 52 cards.
Therefore, probability of getting ‘2’ of spade
Number of favorable outcomes
P(A) = Total number of possible outcome
= 1/52
(ii) a jack
Number of favorable outcomes i.e. ‘a jack’ is 4 out of 52 cards.
Therefore, probability of getting ‘a jack’
Number of favorable outcomes
P(B) = Total number of possible outcome
= 4/52
= 1/13
(iii) a king of red color
Number of favorable outcomes i.e. ‘a king of red color’ is 2 out of 52 cards.
Therefore, probability of getting ‘a king of red color’
Number of favorable outcomes
P(C) = Total number of possible outcome
n a playing card there are 52 cards.
Therefore the total number of possible outcomes = 52
(i) ‘2’ of spades:
Number of favorable outcomes i.e. ‘2’ of spades is 1 out of 52 cards.
Therefore, probability of getting ‘2’ of spade
Number of favorable outcomes
P(A) = Total number of possible outcome
= 1/52
(ii) a jack
Number of favorable outcomes i.e. ‘a jack’ is 4 out of 52 cards.
Therefore, probability of getting ‘a jack’
Number of favorable outcomes
P(B) = Total number of possible outcome
= 4/52
= 1/13
(iii) a king of red color
Number of favorable outcomes i.e. ‘a king of red color’ is 2 out of 52 cards.
Therefore, probability of getting ‘a king of red color’
Number of favorable outcomes
P(C) = Total number of possible outcome
= 2/52
= 1/26
(iv) a card of diamond
Number of favorable outcomes that is ‘a card of diamond’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of diamond’
Number of favorable outcomes
P(D) = Total number of possible outcome
= 13/52
= 1/4
(v) a king or a queen
Total number of king is 4 out of 52 cards.
Total number of queen is 4 out of 52 cards
Number of favorable outcomes i.e. ‘a king or a queen’ is 4 + 4 = 8 out of 52 cards.
Therefore, probability of getting ‘a king or a queen’
Number of favorable outcomes
P(E) = Total number of possible outcome
= 8/52
= 2/13
(vi) a non-face card
Total number of face card out of 52 cards = 3 times 4 = 12