Question

Sandor draws a card from a deck. he replaces the card, shuffles the deck, and draws another card. what is the probability that he draws a heart twice?

Answer 1

The probability that Sandor draws a heart twice is 1/16.

Step-by-step explanation:

To find the probability that Sandor draws a heart twice, we need to calculate the probability of drawing a heart on the first draw and then multiply it by the probability of drawing another heart on the second draw.

There are 52 cards in a standard deck, and 13 of them are hearts. So, the probability of drawing a heart on the first draw is 13/52 or 1/4.

Since Sandor replaces the card and shuffles the deck each time, the probability of drawing a heart on the second draw is also 1/4.

To find the probability of both events happening, we multiply the two probabilities together:

Total probability = (1/4) x (1/4) = 1/16.