The probability of being dealt a red card followed by a queen is 0.0392. This is a problem of probability without replacement.
How to count the probability without replacement
A standard deck of 52 cards consists of four suits that are hearts, diamonds, clubs, and spades. The hearts and diamonds are red. While, the clubs and spades are black. Each suit consist of 13 ranks. They are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
If you pick two cards, one at a time, what is the probability that you draw a red card (of any rank) as the first card, and a queen card (of any suit) as the second card?
- The number of red cards (hearts and diamonds of any rank) is 26.
- The number of queen cards (of any suit) is 4.
P(1st is red ∩ 2nd is queen)
= P(1st is red) × P(2nd is queen)
= (26/52) × (4/51)
= 104/2,652
= 0.0392
Hence, the probability of being dealt a red card followed by a queen is 0.0392.
Learn more about probability here:
https://brainly.com/question/29350527
#SPJ4
