Suppose you randomly draw two cards from a standard deck of playing cards. what's the probability of drawing a four of clubs, and then drawing a seven of hearts?

with replacement:

without replacement:

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events. 

A) 13/52 * 12/51 = ? 

B) 13/52 * 13/52 = ?

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,