a card is drawn from a well shuffled pack of 52 playing cards. Find the probability that the card drawn is A face card
Answers
Answer:
12/52 chance
Step-by-step explanation:
There are 3 face cards in each suit, 12 in all. The probably of drawing a face card is 12/52 or 3/13. The joint probability of drawing both a red card that is a face card is 1/2x3/13 or 3/26. A card is drawn at random from a well-shuffled deck of 52 cards.
I have given step by step solution ↓
Step-by-step explanation:
A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards, where red cards consists of 13 cards of heart , 13 cards of diamond and black cards consists of 13 cards of spades and 13 cards are club.13 cards in each suit are king ,queen, Jack, 10, 9,8,7,6, 5, 4, 3 and 2.
King, queen ,and jack are called face cards. Total number of face cards are 12.
SOLUTION:
Total number of outcomes = 52
i) Favourable outcomes = 12 cards are of face cards
Number of favourable outcomes= 12
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(face card) = 12/52= 3/13
Hence, the probability that the card drawn is face card 3/13.
ii) Total number of red face card= 3+3=6
Number of favourable outcomes= 6
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(red face card) = 6/52= 3/26
Hence, the probability that the card drawn is red face card 3/26.