Question

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection

Answer 1

`(1)/(13)`

Explanation:

The probability P(A) that an event A will occur is given by;

P(A) =
`(number-of-possible-outcomes-of-event-A)/(total-number-of-sample-space)`

From the question,

=>The event A is selecting a king the second time from a 52-card deck.

=> In the card deck, there are 4 king cards. After the first selection which was a king, the king was returned. This makes the number of king cards return back to 4. Therefore,

number-of-possible-outcomes-of-event-A = 4

=> Since there are 52 cards in total,

total-number-of-sample-space = 52

Substitute these values into equation above;

P(Selecting a king the second time) =
`(4)/(52)` =
`(1)/(13)`