Question

Three cards are selected from an ordinary deck of cards and not replaced. Find the probability of these events. Getting 3 aces Getting a jack, a queen, and a king in that order Getting a heart, a club, and a diamond in that order Getting three diamonds

Answer 1

The probability of getting 3 aces is 0.0026, getting a jack, queen, and king in that order is 0.0063, getting a heart, club, and diamond in that order is 0.1188, and getting three diamonds is 0.0132.

Step-by-step explanation:

The probability of getting 3 aces can be calculated as:

P(3 aces) = (4/52) * (3/51) * (2/50) = 0.002641051

The probability of getting a jack, a queen, and a king in that order can be calculated as:

P(Jack, Queen, King) = (4/52) * (4/51) * (4/50) = 0.006275656

The probability of getting a heart, a club, and a diamond in that order can be calculated as:

P(Heart, Club, Diamond) = (13/52) * (13/51) * (13/50) = 0.1188

The probability of getting three diamonds can be calculated as:

P(3 Diamonds) = (13/52) * (12/51) * (11/50) = 0.013176