Question

Suppose you have a hat containing ten balls numbered from 0 to 9. You draw one ball at random and discover that it is numbered 7.

If you place the ball back into the hat, what is the probability that you pull out the 7 ball on your next draw?

O 0.5 (either you draw a 7 or you don't)
O 1/10
O 1/9
O 0
O 1

Answer 1

When a ball is replaced after drawing from a hat containing ten uniquely numbered balls, the probability of drawing the same ball again, such as the 7 ball, remains 1/10.

Step-by-step explanation:

If you have a hat containing ten balls numbered from 0 to 9 and you draw one ball at random, the probability of drawing the ball numbered 7 after replacing it back into the hat is the same as it was before. Since there are ten balls and each ball is distinct in number, the probability of drawing any specific ball, including the 7 ball, on any draw is 1 out of 10 (1/10). It is important to note that because you place the ball back, the number of balls and the probability of drawing the 7 ball remain constant with every draw. Thus, replacing the ball does not change the probability of drawing it again.