Question

If two cards are drawn at random from a deck of cards one after the other without replacement, what is the probability that one is an even-numbered card of black color and the other is a face card of red color?

Answer 1

To find the probability of drawing an even-numbered black card and a red face card, multiply the probability of drawing an even-numbered black card by the probability of drawing a red face card, and reduce the fraction.

Step-by-step explanation:

To find the probability that one card is an even-numbered black card and the other card is a red face card, we need to consider the number of favorable outcomes and the total number of possible outcomes.

There are 26 black cards in a deck (spades and clubs) and 6 red face cards (Jacks, Queens, and Kings of hearts and diamonds).

The probability can be calculated as:

P(One even-numbered black card and one red face card) = (Number of favorable outcomes) / (Total number of possible outcomes) = (26/52) * (6/51) = 2/51.