Question

In a deck of cards, what's the probability of picking out an 8, replacing it, and then drawing a spade?

A. 1/13
B. 1/26
C. 1/52
D. 1/104

Answer 1

The probability of picking out an 8, replacing it, and then drawing a spade from a deck of cards is 1/52.

Step-by-step explanation:

To calculate the probability of picking out an 8, replacing it, and then drawing a spade, we need to consider the individual probabilities of each event.

There are 4 eights in a standard deck of 52 cards, so the probability of picking out an 8 is 4/52.

Since the card is replaced before the second draw, the probability of drawing a spade remains the same for both draws. There are 13 spades in the deck, so the probability of drawing a spade is 13/52 for each draw.

To calculate the combined probability, we multiply the probabilities of each event:

P(8 and spade) = P(8) x P(spade) = (4/52) x (13/52) = 1/52

Therefore, the probability of picking out an 8, replacing it, and then drawing a spade is 1/52.