One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting (a) Non face card, (b) Black king or a Red queen, (c) Spade card.
Answers
Answer:
10/13, 1/13, 1/4
Step-by-step explanation:
Total No. of cards = 52
(a) No. of face cards = 12
So, P(Face Card) = 12/52 = 6/26 = 3/13
Thus, P(non-face card) = 1 - 3/13 = (13-3)/13 = 10/13
Alternate:
No. of face cards = 12
So, no. of non-face cards = 52 - 12 = 40
Thus, P(non-face card) = 40/52 = 20/26 = 10/13
(b) No. of black kings = 2
No. of red queen = 2
No. of black king and red queens = 2+2 = 4
Thus, P(black king or red queen) = 4/52 = 2/26 = 1/13
(c) No. of spade cards = 13
Thus, P(Spade Card) = 13/52 = 1/4
Answer:
Number of cards in the deck = 52
Number of non-face cards = 40
Number of black kings = 2
Number of red queen = 2
Number of spade cards = 13
a). P(a non-face card) = 40/52
= 10/13
b). P(a black king or a red queen) = P(a black king) + P(a red queen)
= 2/52 + 2/52
= 4/52
= 1/13
c). P(a spade card) = 13/52
= 1/4