Question

B) the first marble is replaced, and another marble is chosen at random. if you're told the marble has the number 6 on it, what is the probability the marble is blue?

Answer 1

The probability that the marble is blue on the second draw, given that the first marble was replaced and had the number 6 on it, is 4 out of 7.

Step-by-step explanation:

The probability that the marble is blue on the second draw, given that the first marble was replaced and had the number 6 on it, can be found using conditional probability.

The probability of drawing a blue marble on the first draw is 4 out of 7 (4 blue marbles out of a total of 7 marbles). Since the first marble was replaced, the probability of drawing a blue marble on the second draw is still 4 out of 7. Therefore, the probability that the marble is blue on the second draw, given that the first marble had the number 6 on it, is also 4 out of 7.

Answer 2

A) 1/5 (since you know it is red you can focus on the reds 1-5. Then you just have a 1 in 5 chance of it being number 3)

B) 1/2 (there is only 2 marbles with the number 1 on it. So its a 50/50 chance its red.)

Also ivorbigg has no clue what he/she is talking about. A probably never has a value higher than 1. If it did, that would mean that is more than 100% chance of that event happening which is impossible. All of your answers to anything probability related is 1 or less.