Question

A jar contains 10 red marbles and 20 blue marbles. If you take a random sample with replacement of two marbles from the jar and the first marble is blue, then the probability that the second marble is blue is p=19/29.

True or False

Answer 1

The statement given is false. Sampling with replacement means the jar's composition remains the same, and the probability of drawing a blue marble the second time is 2/3, not 19/29 as initially stated.

Step-by-step explanation:

The statement that the probability that the second marble is blue is p=19/29 after the first blue marble has been drawn and replaced is false. The process described involves sampling with replacement, which means after drawing a blue marble and noting its color, it is put back into the jar. As a result, the composition of the jar remains unchanged with 10 red marbles and 20 blue marbles.

The correct probability of drawing a blue marble the second time is therefore the same as the initial probability of drawing a blue marble, as the sample space has not been altered. This can be calculated as the number of blue marbles over the total number of marbles, which is 20/30 or simplified to 2/3.

Answer 2

it could be true

Step-by-step explanation:

if there is 2 times as much blue marbles then red marbles it gives you a higher chance to get another blue marble