There Are Seven Black Marbles And Nine White Marbles

All of the original white marbles are still in the bag so there is a 4 out of 17 or 4 17 chance that the next marble taken out of the bag will be white.

There are seven black marbles and nine white marbles.

So let s draw this bag here. This is our denominator. There could be anywhere between zero and 100 black marbles and the appropriate number of white marbles to make up the balance. So that s my bag and we re going to assume that it s a transparent bag so it looks like a.

P r r 9 20 9 20 81 400 2025. There are a number of ways of approaching this problem but the easiest solution is to realize that it doesn t matter what order you took the marbles out in. Call it the second marble. A is simply a set of sequential events.

Trivially then the answer is frac 1 3 since there is one white. There are seven black marbles and nine white marbles in a bag. One of them is removed so now there are 17 marbles. What is the approximate probability of drawing two black marbles and then.

Therefore the probability of a is 10 16 9 15 0 375. Supposing this red is not replaced the chance of drawing a second red will be 9 15. Write the probability as a fraction in simplest form a decimal and a percent. Total number of marbles 16 total number of black marbles 7 total number of white marbles 9 probability of drawing a black marble on first 7 16 probability of drawing a black marble on second draw 6 15 probability of drawing a white marble on the 3rd draw 9 14.

Let s do a couple of exercises from our probability one module. What is the theoretical probability of pulling a red marble from the bag. You draw ten marbles out as before and this time you get seven black and three white. A bag contains five yellow marbles nine red marbles three blue marbles six white marbles and seven black marbles.

So we have a bag with 9 red marbles 2 blue marbles and 3 green marbles in it. On the first you have 10 16 chances to draw a red. There are 35 marbles in a bag. Take out a marble.

9 blue marbles 8 green marbles 4 red marbles 8 white marbles and 6 yellow marbles. Note that there are 16 total marbles. What is the probability of randomly selecting a non blue marble from of the bag. 2 see answers answer expert verified 4 2 5 2.