Probability Marble Bag

Find the probability of pulling a yellow marble from a bag with 3 yellow 2 red 2 green and 1 blue i m assuming marbles.

Probability marble bag. One of two conditions exists with respect to the number of red and blue marbles. There are 55 marbles 25 of which are not red p getting a color other than red p 25 55 455 probability of this happening 3 times in a row is. The conditional probability of an event a given that event b has occurred is defined as given that. The sample space for the second event is then 19 marbles instead of 20 marbles.

Let s do a couple of exercises from our probability one module. And so this is sometimes the event in question right over here is picking the yellow marble. Each marble is either red or blue. For example a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble.

The probability of a white marble being picked first is 2 5 and once this happens then there are only one white and 3 blue marbles left so the probability of the second marble being blue is 3 4. The probability of picking a yellow marble. This is called probability without replacement or dependent probability. Probability examples a jar contains 30 red marbles 12 yellow marbles 8 green marbles and 5 blue marbles what is the probability that you draw and replace marbles 3 times and you get no red marbles.

So let s draw this bag here. There is an equal number of red and blue marbles h0 or. So the next event depends on what happened in the previous event and is called dependent. If we got a red marble before then the chance of a blue marble next is 2 in 4 if we got a blue marble before then the chance of a blue marble next is 1 in 4 this is because we are removing marbles from the bag.

After that you will get the probability of the complement event 0 2857 so the asnwer is 0 7143. This calculator can also be used to calculate the probabilities of conditional events. What is the probability of randomly selecting a non blue marble from of the bag. A bag contains 100 marbles.

60 of the marbles are blue ha your task is to guess which of the two conditions is in fact true.