Question

A card is drawn at random form a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a king nor a queen.

Answer 1

Let E be the event of getting either a king or a queen. Then, (not E) is the event that drawn card is neither a king nor a queen.     

Then, P(getting a king or a queen ) = `2/13`

Now, ​P (E) + ​P (not E) = 1

∴ ​P(getting neither a king nor a queen ) = `1 - (2/13) = 11/13`