Question

Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability that the first card will be a spade, the second card will be a red card, and the third card will be a ten. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

There are 13 spades in a standard deck of 52 cards, so the probability of drawing a spade on the first card is 13/52 = 1/4.

There are 26 red cards in a standard deck of 52 cards, so the probability of drawing a red card on the second draw is 26/52 = 1/2.

There are 4 tens in a standard deck of 52 cards, so the probability of drawing a ten on the third draw is 4/52 = 1/13.

Since the draws are with replacement, we can multiply the probabilities of each event happening:

(1/4) * (1/2) * (1/13) = 1/104

Therefore, the probability that the first card will be a spade, the second card will be a red card, and the third card will be a ten is 1/104.