Question

20 POINTS!!!! MATH HELP PLEASE I WILL BE MARKING BRAINLY PLEASE SHOW ALL OF YOUR WORK

Answer 1

Answer:

Letter A:

There is a 42.857143% chance of picking a black marble out of the bag. This is because there are 7 marbles total and 42.857143% of them(3/7) are black, so that is the probability.

Letter B:

There is a 14.285714% chance of picking this. The chance of picking a black black marble first is 3/7, which you multiply by the chance of picking a marble out on your second try without putting the first black marble back in ,which is 1/3. That gives you 1/7, or the percent above.

Letter C:

The probability of picking a black marble, replacing it, then picking another black marble is 18.367347%, or 9/49. You take the probability of picking out a black marble first, 3/7,  and multiply it by the chance of picking another black marble after replacing the first one, which is also 3/7.

Letter D:

The probability is different for B and C because in B the chance for the second one is less because for the second pick there are less marbles and a third of them are black. In C the chance of picking a black marble in the second is the same as in the first because you are putting the original back in.