Question

Find the probability of getting face cards (king, queen, or jack) when cards are drawn from a deck without replacement.

Answer 1

Step-by-step explanation:

P(4 face cards drawn) = (12/52)*(11/51)*(10/50)*(9/49)

P(4 face cards drawn) = (12/52)*(11/51)*(10/50)*(9/49)which reduces to (3/13)*(11/51)*(1/5)*(9/49) = 297 / 162435 = +highlight%2899%2F54145%29

Answer 2

Given: Cards are drawn from a deck without replacement.

To find: The probability of getting face cards (king, queen, or jack).

Solution:

A deck of cards has four kings, four queens and four jacks. So there are 12 face cards in a deck. There are a total of 52 cards in a deck.

The probability of an event is the total number of possible outcomes by the number of favourable outcomes. In this question, 12 is the number of favourable outcomes and 52 is the number of possible outcomes. The probability is calculated as follows.

$P(E) = \frac{12}{52}$

         $= \frac{3}{13}$

Therefore, the probability of getting face cards (king, queen, or jack) is 3/13.