A six-sided number cube is rolled 16 times. Here are the results:

Question

2 5 1 3 2 2 5 6 4 6 5 2 1 1 6 4

What is the experimental probability of rolling a 4? Express your answer as a fraction in simplest form.

Use the lesson notes for help as needed.

(1 point)

Answer 1

To find the experimental probability of rolling a 4, we need to calculate the number of times a 4 was rolled and divide it by the total number of rolls.

In the given results, we see that the number 4 was rolled 2 times.

So, the experimental probability of rolling a 4 is 2/16.

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

2 ÷ 2 = 1

16 ÷ 2 = 8

Therefore, the experimental probability of rolling a 4 is 1/8.

Answer 2

A pile of 10 cards labeled 1-10 is shuffled. One card is selected at random. If this experiment is repeated 240 times, how many times would you expect to select the number 4? Use the lesson notes as needed for help.(1 point)
Responses

24 times
24 times

4 times
4 times

10 times
10 times

48 times

Answer 3

To calculate how many times you would expect to select the number 4, we need to consider the probability of selecting the number 4.

Since there are 10 cards labeled 1-10, the probability of selecting the number 4 is 1 out of 10, or 1/10.

If the experiment is repeated 240 times, we can calculate the expected number of times to pick the number 4 by multiplying the probability by the total number of trials:
Expected number of times = Probability of selecting 4 * Total number of trials
Expected number of times = 1/10 * 240
Expected number of times = 24

Therefore, you would expect to select the number 4 24 times out of 240 trials.

The correct answer is 24 times.