Question

You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your first draw and a number greater than 10 on your second draw.

Answer 1

The probability of drawing a 3 on the first draw and a number greater than 10 on the second draw is 3/125.

Step-by-step explanation:

To find the probability of drawing a 3 on the first draw and a number greater than 10 on the second draw, you first need to determine the number of outcomes that satisfy both conditions. Since each number is replaced after it is drawn, there are 25 possible outcomes for each draw. The probability of drawing a 3 on the first draw is 1/25. The probability of drawing a number greater than 10 on the second draw is the number of outcomes greater than 10 divided by the total number of outcomes, which is (25-10)/25 = 15/25 = 3/5.

Since the draws are independent events, the probability of both events occurring is the product of their individual probabilities. Therefore, the probability of drawing a 3 on the first draw and a number greater than 10 on the second draw is (1/25) * (3/5) = 3/125.