2 cards are chosen from a deck of cards. The first card is replaced before choosing the second card. What is the probability that one card is a club and the other is a heart?

The probability that the first card chosen is club and second card chosen is of heart is .

Step-by-step explanation:

Total number of cards in the deck is 52 (total number of cases).

Probability of an event E can be formulated as:

For event A, number of cards of type club = 13 (favorable cases)

So,

For event B, number of cards of type heart = 13 (favorable cases)

So,

It is given that card is replaced before choosing the second card.

These events A and B are independent events, happening of one event does not effect the happening of other.  And probability of both happening together can be found as following:

The probability that the first card chosen is club and second card chosen is of heart is .

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step-by-step explanation:

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step-by-step explanation: