Select the correct answerIf two cards are drawn at random from a well - shuffled pack of cards, what is the probability that both of them are of the same sign?radio_button_unchecked1/16radio_button_unchecked1/4radio_button_unchecked1/2radio_button_uncheckedNone of these

To solve this problem, we need to understand that a deck of cards has 52 cards: 26 of them are black (clubs and spades) and 26 are red (hearts and diamonds). We want to find the probability that both cards drawn are of the same color.

Step 1: Calculate the probability of drawing the first card of any color. This is simply 52/52, or 1, since we have not drawn any cards yet.

Step 2: Having drawn one card of a particular color, there are now 25 cards of that color left out of a total of 51. So the probability of drawing a second card of the same color is 25/51.

Step 3: Multiply the probabilities from step 1 and step 2 together to get the overall probability of drawing two cards of the same color. This is 1 * (25/51) = 25/51.

However, we could have drawn two black cards or two red cards. So, we need to multiply our answer by 2.

Final answer: 2 * (25/51) = 50/51.

None of the provided options match this answer, so the correct choice is "None of these".