Question

A game is played by selecting four cards from an ordinary deck of cards and replacing each card after it is drawn. If you draw at least one ace, you win. Find the probability.

Answer 1

The probability of drawing at least one ace from four cards in a game is approximately 25.21%.

Step-by-step explanation:

To find the probability of winning the game, we need to find the probability of drawing at least one ace out of four cards. Since each card is replaced after it is drawn, the probability of drawing an ace on any given draw is 4/52 = 1/13.

The probability of not drawing an ace on a single draw is 1 - 1/13 = 12/13.

The probability of not drawing any aces in four draws is (12/13)^4 = 0.7479. Therefore, the probability of drawing at least one ace is 1 - 0.7479 = 0.2521 or 25.21%.