Vernon tossed a coin 20 times. The results were 8 heads and 12 tails.

What is the experimental probability of tossing heads?

Question 1 options:

1/8

2/5

1/2

3/5

Question 2 (1 point)

What is probability of spinning red?

Question 2 options:

1/4

1/3

1/6

1/2

Question 3 (1 point)
If an original quantity is 12 and the new quantity is 15, what is the percent increase?

Question 3 options:

25%

20%

30%

40%

1 answer

Let's go through each question one by one.

Question 1:

Vernon tossed a coin 20 times and got 8 heads.

To find the experimental probability of tossing heads, you can use the formula:

\[ \text{Experimental Probability} = \frac{\text{Number of favorable outcomes (heads)}}{\text{Total number of trials}} \]

In this case:

  • Number of favorable outcomes (heads) = 8
  • Total number of trials = 20

So the experimental probability of tossing heads is:

\[ \text{Probability of heads} = \frac{8}{20} = \frac{2}{5} \]

Answer for Question 1: 2/5


Question 2:

You need the probability of spinning red. However, we don't have specific details or context about the spinner (like how many total sections there are).

Without that information, we cannot determine the probability of spinning red accurately. If you have more details regarding the spinner, such as the number of sections and how many are red, please provide it to determine the probability.

For the sake of an example, if we hypothetically say there are 6 sections total with 2 red, then the probability would be:

\[ P(\text{Red}) = \frac{\text{Number of red sections}}{\text{Total sections}} = \frac{2}{6} = \frac{1}{3} \]

But again, without specific information about that spinner, we cannot conclude definitively.


Question 3:

To find the percent increase from an original quantity of 12 to a new quantity of 15, you can use the following formula:

\[ \text{Percent Increase} = \frac{\text{New Quantity} - \text{Original Quantity}}{\text{Original Quantity}} \times 100% \]

Plugging in the values:

\[ \text{Percent Increase} = \frac{15 - 12}{12} \times 100% = \frac{3}{12} \times 100% = \frac{1}{4} \times 100% = 25% \]

Answer for Question 3: 25%

If you provide additional information for Question 2, I’d be glad to help calculate that probability as well!