A six sided number rube is rolled 30 times and lands on 3 ten times and on 5 eight times calculate the theoretical AND experimental probabilities of landing on a 3. write your answer in the simplest form of a fraction.
The theoretical probability of landing on a 3 when rolling a six-sided cube is 1/6, since there are 6 possible outcomes and only one of them is a 3.
The experimental probability of landing on a 3 can be calculated by dividing the number of times a 3 was rolled (10) by the total number of rolls (30):
Experimental Probability = Number of 3's rolled / Total number of rolls = 10/30 = 1/3
So, the theoretical probability is 1/6 and the experimental probability is 1/3.
could you show the steps to how you got 1/3 for experimental and 1/6 for theoretical?
Of course!
The theoretical probability of rolling a 3 on a six-sided cube can be calculated by determining the number of favorable outcomes (rolling a 3) and dividing it by the total number of outcomes.
Number of favorable outcomes: 1 (rolling a 3)
Total number of outcomes: 6 (1, 2, 3, 4, 5, 6)
Therefore, the theoretical probability is: 1/6
Now, to calculate the experimental probability of landing on a 3, you divide the number of times a 3 was rolled by the total number of rolls.
Number of times a 3 was rolled: 10
Total number of rolls: 30
Therefore, the experimental probability is: 10/30 = 1/3
So, the theoretical probability of rolling a 3 is 1/6, and the experimental probability is 1/3.
Write them both as math equations pls
Sure!
Let's represent the theoretical probability with P(theoretical) and the experimental probability with P(experimental).
Theoretical probability of rolling a 3 on a six-sided cube:
P(theoretical) = Number of favorable outcomes / Total number of outcomes
P(theoretical) = 1 / 6
P(theoretical) = 1/6
Experimental probability of rolling a 3 on a six-sided cube:
P(experimental) = Number of times a 3 was rolled / Total number of rolls
P(experimental) = 10 / 30
P(experimental) = 1/3
Therefore, the theoretical probability is 1/6 and the experimental probability is 1/3.
show the mathematical steps of how you got those two please its for show your work
Absolutely! Here are the mathematical steps for calculating both the theoretical and experimental probabilities of rolling a 3 on a six-sided cube:
Theoretical Probability:
Number of favorable outcomes (rolling a 3): 1
Total number of outcomes: 6
P(theoretical) = Number of favorable outcomes / Total number of outcomes
P(theoretical) = 1 / 6
P(theoretical) = 1/6
Experimental Probability:
Number of times a 3 was rolled: 10
Total number of rolls: 30
P(experimental) = Number of times a 3 was rolled / Total number of rolls
P(experimental) = 10 / 30
P(experimental) = 1/3
Therefore, the theoretical probability of rolling a 3 is 1/6, and the experimental probability is 1/3.