You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. Find the probability of drawing a 4 for the first card and a 9 for the second card. Round your answer to the nearest thousandth.
0.039
0.019
0.155
0.026
4/52 * 4/52 = ? (which does not equal any of your given alternatives.) Do you have a typo?
To find the probability of drawing a 4 for the first card and a 9 for the second card, you need to determine the probability of each event happening individually and then multiply those probabilities together.
First, let's find the probability of drawing a 4 for the first card. In a standard deck of 52 cards, there are 4 copies of the card 4. Therefore, the probability of drawing a 4 for the first card is 4/52 or 1/13.
Next, since we are replacing the first card before drawing the second card, the deck remains unchanged. So, the probability of drawing a 9 for the second card is also 4/52 or 1/13.
To find the probability of both events happening, we multiply the probabilities together:
(1/13) x (1/13) = 1/169
Therefore, the probability of drawing a 4 for the first card and a 9 for the second card is 1/169. Rounded to the nearest thousandth, this is approximately 0.006.
So, the correct answer is: 0.006