Question

Two cards are drawn in succession from a standard 52-card deck. What is the probability that the first card is red and the second card is black?

1) 0.2549
2) 0.2451
3) 0.5
4) 0.75

Answer 1

The probability of drawing a red card first and a black card second from a standard 52-card deck is 0.2549. The correct option is 1.

Step-by-step explanation:

To find the probability that the first card is red and the second card is black, we need to consider the number of red and black cards in the deck. There are 26 red cards and 26 black cards in a standard 52-card deck.

For the first card, the probability of drawing a red card is 26/52.

Since we are drawing without replacement, there will be one less card in the deck for the second draw. So, for the second card, the probability of drawing a black card is 26/51.

Therefore, the probability of drawing a red card first and a black card second is (26/52) * (26/51) = 0.2549 (rounded to four decimal places), which is option 1. The correct option is 1.