Question

Can you please help me out with a question

Answer 1

ANSWER:

The answer is 30.77%

STEP-BY-STEP EXPLANATION:

The probability would be the number of cards that meet the conditions divided by the total number of cards.

The pack of cards is a “Standard Pack", that is it has 4 suits (Diamonds, Hearts, Spades, Clubs), and cards Ace, 2 to 10 inclusive in each suit and Jack, Queen and King in each suit, giving a total of 52 cards.

There are 3 Face Cards in each suit (Jack, Queen, King)

Therefore there are 3 Face Cards in each suit in the pack or 3 x 4 (or 12) Face Cards in the pack.

Card 2, there is 4 times one for 4 suit.

Therefore:

$P(\text{face, 2})=\frac{12+4}{52}=\frac{16}{52}=0.3077=30.77\text{\%}$