Studdy AI Logo
Math  /  Data & Statistics

Question10) Johnny rolled the die 1,500 times. His results are below: \begin{tabular}{|l|c|c|c|c|c|c|} \hline \# on die & 1\mathbf{1} & 2\mathbf{2} & 3\mathbf{3} & 4\mathbf{4} & 5\mathbf{5} & 6\mathbf{6} \\ \hline \begin{tabular}{l} Times \\ rolled \end{tabular} & 230 & 245 & 300 & 280 & 215 & 230 \\ \hline \end{tabular}
What is the experimental probability that the die will land on a 4?

Studdy Solution

STEP 1

1. The die is fair, and each side is equally likely to land face up.
2. The experimental probability is calculated as the ratio of the number of times a specific outcome occurs to the total number of trials.

STEP 2

1. Identify the number of times the die landed on a 4.
2. Calculate the total number of die rolls.
3. Compute the experimental probability.

STEP 3

Identify the number of times the die landed on a 4:
The die landed on a 4 a total of 280 times.

STEP 4

Calculate the total number of die rolls:
The total number of rolls is 1,500.

STEP 5

Compute the experimental probability:
The experimental probability P(4) P(4) is given by the formula:
P(4)=Number of times die landed on 4Total number of rolls=2801500P(4) = \frac{\text{Number of times die landed on 4}}{\text{Total number of rolls}} = \frac{280}{1500}
Simplify the fraction:
P(4)=28150=1475P(4) = \frac{28}{150} = \frac{14}{75}
Thus, the experimental probability that the die will land on a 4 is:
1475 \boxed{\frac{14}{75}}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord