Question

You pick a card at random, put it back, and then pick another card at random. What is the probability of picking an 8 and then picking a 6? Write your answer as a fraction or whole number.

Answer 1

The probability of picking an 8 and then a 6 from a deck of 52 playing cards when replacing the card after each pick is 1/2704.

Step-by-step explanation:

The probability of picking an 8 and then picking a 6 from a standard deck of 52 playing cards involves two independent events. The probability of picking any specific card, such as an 8, is 1/52. Since the card is put back after the first draw, the deck remains the same for the second draw, so the probability of picking a 6 is also 1/52. We find the probability of both events occurring by multiplying the individual probabilities:

P(8 and then 6) = P(8) × P(6) = 1/52 × 1/52.

Therefore, the combined probability is:

P(8 and then 6) = 1/2704, which is the fraction representing the probability of this sequence of picks.