What are the odds in favour of getting a spade if a card is drawn from a well-shuffled deck of cards? What are the odd in favour of getting a king?
given: pack of 52 playing cards
formula:
one card is drawn from the given pack of cards, total possible outcomes are 52C1
therefore n(S)=52C1=52
(i) let E be the event of getting a spade
n(E)= 13C1=13
Therefore, probability of event E’ is
P(E’) =1-P(E)
Odds in favour of getting a spade is P(E):P(E’) =1:3
(ii) let E be the event of getting a king
n(E)= 4C1=4
Therefore, probability of event E’ is
P(E’) =1-P(E)
Odds in favour of getting a king is P(E):P(E’) =1:12