Table of Contents

## What is the probability of drawing two blue marbles if the first one is placed back?

The chances of drawing a blue marble are 4/9. Therefore, the chance that both marbles drawn are blue is the chance that the first one is blue times the chance that the second one is blue. Remember, math is always trying to trick you.

## How do you figure out probabilities?

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there’s only a single 3 on each die), and the number of outcomes is 6.

**What is the probability of getting two marbles of the same color?**

You can cross check with what I presented here and you will find they are the same. Which gives a probability of about 38\%.

**What is the probability of A and B?**

The probability of A and B means that we want to know the probability of two events happening at the same time. There’s a couple of different formulas, depending on if you have dependent events or independent events. Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B).

### How many marbles are in a bag of marbles?

A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble, then without replacing it, randomly selecting a green marble? | Socratic A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles.

### What is the probability of drawing a second green marble?

So the probability of drawing a second green marble on his second pull is 4/9. Because these two events are dependent and you want them to both happen we will multiply the two probabilities together. So 1/2 * 4/9 = 4/18 or simplified 2/9. A bag contains 7 yellow, 3 red and 5 green marbles. Jack draws two marbles at random without replacement.

**How many marbles does Alex have in his bag?**

Alex has a bag of marbles with 5 green, 3 blue and 2 red marbles. What is the probability that Alex pulls a green marble, puts it in his pocket, and then pulls out another green marble?