Question

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

Answer 1

Let S be the sample space of drawing a card from a well-shuffled deck.

`n(S)=""^52C_1=52`

There are 4 jack and 4 king cards in a deck.

So there are 52 -8 = 44 cards which are neither jacks nor kings.

A card which is neither a jack nor a king can be drawn in `""^44C_1=44`

Probability of drawing a card which is neither a jack nor a king=44/52=11/13