A number cube is rolled 150 times. The number 3 comes up 43 times. What is the experimental probability of rolling a 3? What is the theoretical probability of rolling a 3?
A. 43/150;1/6
B. 43/150;1/50
C. 1/6;43/150
D. 3/43;1/6
I think it's A?
i agree.
You are correct, the answer is A.
To find the experimental probability of rolling a 3, you divide the number of times the event occurred (in this case, rolling a 3) by the total number of trials. So, the experimental probability of rolling a 3 is 43/150.
The theoretical probability of rolling a 3 can be found by considering the possible outcomes. Since a number cube has 6 sides, with each side having an equal chance of landing facing up, the probability of rolling a 3 is 1/6.
Therefore, the correct answer is A: 43/150 for the experimental probability and 1/6 for the theoretical probability.
To find the experimental probability of rolling a 3, you need to divide the number of times the desired outcome (rolling a 3) occurred by the total number of trials (150 rolls):
Experimental Probability = Number of Desired Outcomes / Total Number of Trials
In this case, the number of times a 3 came up is given as 43, and the total number of rolls is given as 150. So the experimental probability of rolling a 3 is 43/150.
To find the theoretical probability of rolling a 3, you need to consider the number of possible outcomes for rolling a number cube and the number of favorable outcomes (rolling a 3). A standard number cube has 6 sides, numbered from 1 to 6, and each side has an equal chance of landing face up. Therefore, the probability of rolling a 3 is 1 out of 6, or 1/6.
So the correct answer is A. The experimental probability of rolling a 3 is 43/150, and the theoretical probability is 1/6.