A card is drawn from a well-shuffled pack of 52 cards. Find the probability of
a. A red king
b. A face card
C. A card of heat
d. Neither a king nor a queen
Answers
Step-by-step explanation:
- p{event} = number of favourable outcomes
__________________________
number of all possible outcomes
a) red king = 1 red heart king + 1 red diamond king =
= 2 red kings
total number of cards = 52
therefore P(red king) = 2/52
b) face cards are king, queen and Jack
each suit has 3 face cards
therefore for 4 suits there will be
4×3 = 12 face cards
total no of cards =52
therefore P(face card)=12/52=3/13
c) I think you meant a card of heart.
there are 4 suits
heart is one of the suit
total no of card =52
heart cards =52/4
=13 cards
total no of cards=52
therefore,P(heart card)=13/52=1/4
d) each suit contains 1 king and 1 queen = 2
therefore in 4 suits there will be
4×2=8
total number of cards =52
not king nor queen = 52 -8= 44
therefore,P(neither king nor queen)=44/52=22/26 =11/13
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