Question

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than 1/5? Check ALL that apply.

1. Choosing 1 blue marble


2. Choosing 1 red marble


3. Choosing 1 red marble, not replacing it, and then choosing a blue marble


4. Choosing 1 white marble, replacing it, and choosing another white marble


5. Choosing 1 white marble

Answer 1

B,D,E

Explanation:

Answer 2

Let's just go through all possible answers and see which ones give what you are asking for.

1

the Total number of marbles is 10

You have 2 blue marbles

P(blue) = 2/10 = 1/5 which is not a good answer.

2

There are 3 red marbles.

P(red) = 3/10 = 0.3 which is greater than 1/5 <<<< Possible answer.

3

3 red marbles out of 10 = 3/10

2 blue marbles = 2/9

Probability of (red then blue)= 3/10 * 2/9 = 1/15 which is not greater than 1/5

4

1 white marble replacing it and white again.

1/2 * 1/2 = 1/4 which is greater than 1/5 <<<<<<<< Answer

5

There are 5 white marbles. 5/10 is the probability of drawing a white. P(white) = 1/2. That is greater than 1/5.<<<< Possible Answer

Answers 2,4,5