A standard deck of 52 cards contains four suits hearts, diamonds, clubs and spades. Each suit has 13 cards ace, 234-5678 910 Jack, queen, And king two cards are randomly drawn without replacement calculate the probability of drawing two cards, express your answer in form rounding to the nearest hundred

Answer 1

To calculate the probability of drawing two cards without replacement, we first need to determine the total number of ways two cards can be drawn from a deck of 52 cards.

There are 52 cards in the deck, so for the first card, there are 52 choices. After the first card is drawn, there are 51 cards left in the deck, so there are 51 choices for the second card. Therefore, there are 52 * 51 = 2652 ways two cards can be drawn from a deck of 52 cards.

Next, we need to determine the number of ways to draw two cards of any suit. Since there are 13 cards in each suit, there are 13 choices for the first card and 12 choices for the second card of the same suit. Therefore, there are 13 * 12 = 156 ways to draw two cards of the same suit.

The probability of drawing two cards of the same suit is then given by:

156 / 2652 = 0.05882352941

Rounded to the nearest hundredth, the probability of drawing two cards of the same suit is 0.06.