Three cards are drawn with replacement from a well shuffled pack of 52 cards. Find the probability that the cards are a king, a queen and a jack.
Given that three cards are drawn from a well-shuffled deck of 52 cards with replacement.
We know that there will 4 kings, 4 queens, 4 jacks present in a deck.
Let us find the probability of drawing the cards.
⇒ P(K) = P(Drawing King from 52 cards deck)
⇒ 
⇒ 
⇒ P(Q) = P(Drawing Queen from 52 cards deck)
⇒ 
⇒ 
⇒ P(J) = P(Drawing Jack from 52 cards deck)
⇒ 
⇒ 
We need to find the probability of drawing one king, one queen, one jack
There will be 6 cases or sequences for drawing these three cards
⇒ P(DKQJ) = P(Drawing King, queen and jack)
Since drawing cards are independent their probabilities multiply each other,
⇒ 
⇒ 
∴ The required probability is 
.