Question

Two cards are drawn from a well shuffled standard deck of cards of cards. Match each scenario to its probability

The probability of drawing a red ace followed by another ace if any color without replacement.
The probability of drawing a king followed by a queen with replacement.
The probability of drawing a 3 or a 5 followed by a 4 or a 6 with replacement.
The probability of drawing a spade followed by a jack of any color with replacement.
1/169
1/442
4/169
1/52

Answer 1

Explanation:

"The probability of drawing a red ace followed by another ace of any color without replacement."

There are 4 aces total, 2 of which are red. After the first red ace is drawn, there will be 3 aces left. So the probability is:

P = (2/52) (3/51)

P = 1/442

"The probability of drawing a king followed by a queen with replacement."

There are 4 kings and 4 queens. So the probability is:

P = (4/52) (4/52)

P = 1/169

"The probability of drawing a 3 or a 5 followed by a 4 or a 6 with replacement."

There are 8 cards that are either 3 or 5, and 8 cards that are either 4 or 6. So the probability is:

P = (8/52) (8/52)

P = 4/169

"The probability of drawing a spade followed by a jack of any color with replacement."

There are 13 spades, and 4 jacks. So the probability is:

P = (13/52) (4/52)

P = 1/52