Question

A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials?

25
40
100
250

Answer 1

You are drawing with replacement. Which means your odds each time don't change. How many of the marbles are green compared to the total marbles in the bag?

Answer 2

25

Answer 3

Not quite.

4 + 10 + 25 + 1 = 40 total marbles

Of those 40 marbles, 25 are green. So there is a 25/40 chance I will draw a green marble from the bag (using replacement).

So over 400 draws, I expect to draw (25/40) * 400 green marbles.

Answer 4

So the answer is 25 or 40?

Answer 5

The answer is (25/40) * 400 draws.

Each time she draws a marble she has a 25/40 percent chance to draw a green marble. She draws 400 times.

So the answer is 250 green marbles is expected.

Answer 6

Thanks so much! :) Can you help me with a few more?

Answer 7

A six-sided number cube labeled 1 through 6 is rolled 500 times. An odd number is rolled 325 times. Compare the experimental probability of rolling an odd number with the theoretical probability of rolling an odd number and select one of the statements below that best describes the situation.

The experimental probability and theoretical probability are the same.
The experimental probability is larger than the theoretical probability.
The experimental probability is smaller than the theoretical probability.
There is not enough information to determine the relative frequency.

Answer 8

I can try, sure.

Answer 9

So how many odd results are there compared to even results on the cube?

Answer 10

175

Answer 11

In other words, in the numbers 1 - 6... how many are odd and how many are even?

Answer 12

Sorry, I may not have been clear. I'm talking about just looking at the die.

There are number 1, 2, 3, 4, 5, 6. Which means there are 3 odd numbers (1,3,5) and 3 even number (2,4,6). So, if I roll the die the chance that I will get an even number is equal to the chance I will get an odd number. Just like flipping a coin. Understand?

Answer 13

Yes

Answer 14

So the answer is the first one?

Answer 15

Not quite. So, if I roll the dice 500 times... assuming that I have even odds. I would expect to get 250 odd results.... Instead I got 325. How does this match the answer choices?

Answer 16

So.. it would be larger?

Answer 17

Right!

Answer 18

Darius flipped a coin 500 times and it landed heads up 300 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?

4%
6%
40%
60%

Answer 19

The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?

Likely
Certain
Unlikely
Impossible

Answer 20

Impossible means zero chance
Certain means it will always happen.

Since neither of these are true we can throw them out.

0.5 is even chances.

Darius achieved 60% (which is greater than 50 %). So, do you have a guess?

Answer 21

So the answer would be Likely?

Answer 22

Great. Yes.

Answer 23

Okay thanks can you help me with the question I posted before that one?

Answer 24

I'll see if I can find it.

Answer 25

Sorry, I don't see it. Can you repost?

Answer 26

Darius flipped a coin 500 times and it landed heads up 300 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?

4%
6%
40%
60%

Answer 27

Oh, we answer that... 300/500 = 60%

Answer 28

Okay LAST question lol

Eddie believes that if he flips a coin 650 times, it will land heads up exactly 325 times. What would you tell Eddie about his prediction?

Answer 29

Well, we know that a coin flip should have even odds (or 50%). So, Eddie believes that 325/650 flips will be heads. Is that a reasonable guess?

Answer 30

No?

Answer 31

Yes?