Question

Four cards are drawn from an ordinary deck without replacement. Find the probability of getting at least one face card.

Answer 1

In a standard deck the face cards are (i.e, king, queen, jack), in the standard deck there are 4 suits and each suits have 3 face cards. So the total face cards are 12.

Here, we drawn 4 cards from the deck.

We need to find the probability of getting at least one face card.

The total possible outcomes are given by,(i.e, selecting 4 cards out of 52 cards)

The favourable outcomes are given by,

i.e, the possible ways we can select at least one face cards is given by,

[ Here,12 face cards and 40 others cards are present]

The probability of getting at least one face card is given by,

The probability of getting atleast one face card is 0.66242497