Probability Picking Marbles

What is the probability of picking a blue marble.

Probability picking marbles. And so this is sometimes the event in question right over here is picking the yellow marble. Count the total number of outcomes 12 marbles. The sample space for the second event is then 19 marbles instead of 20 marbles. If a marble is drawn from the jar at random what is the probability that this marble is red.

Total number of objects n. We can use a tree diagram to help us find the probability without replacement. Dependent events are what we look at here. Let s break it down into cases.

Count the number of favorable outcomes 2 blue marbles. That was the catch i didn t. You pick a white marble followed by a blue marble. Therefore the probability for drawing yy is frac 1 6 and not frac 1 3.

Number of object distinct from the others m. We can go one step further and see what happens when we pick a second marble. Number of objects picked n. There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.

Probability to pick a set of n 10 marbles with k 3 red ones so 7 are not red in a bag containing an initial total of n 100 marbles with m 20 red ones. 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. By adding more green marbles you will increase the number of all possible outcomes but the number of events will remain 3 so therefore the probability of picking yy will decrease and not stay frac 1 3 what seems very logically. On your second pull since we are not replacing marbles there s a 3 4 chance that you pick a b.

Choosing a red marble is our event and the number of outcomes is the total number of marbles in the jar 20. So they say the probability i ll just say p for probability. A jar contains 4 blue marbles 5 red marbles and 11 white marbles. Number of objects picked among those distinct k.

A bag contains 7 red marbles 3 purple marbles and 2 blue marbles. This is called probability without replacement or dependent probability. Although both sweets were taken together it is similar to picking one sweet and then the second sweet without. Initially there is a 2 5 chance of picking a white marble.