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?
Experimental probability = number of times event occurred / total number of trials
= 43 / 150
= 0.287 or 28.7%
Theoretical probability of rolling a 3 on a number cube is 1/6 or 0.167 or approximately 16.7%.
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?
43/150;1/6
43/150;1/50
1/6;43/150
3/43;1/6
43/150;1/6
To find the experimental probability of rolling a 3, you need to divide the number of times the event occurred (rolling a 3) by the total number of trials (number of times the number cube was rolled).
In this case, the number 3 came up 43 times out of a total of 150 rolls. So, the experimental probability of rolling a 3 is 43/150.
To find the theoretical probability of rolling a 3, you need to know the number of favorable outcomes and the total number of possible outcomes.
For a fair number cube, there are 6 possible outcomes (numbers 1 to 6), and only 1 favorable outcome (number 3). So, the theoretical probability of rolling a 3 is 1/6.
To summarize:
- The experimental probability of rolling a 3: 43/150
- The theoretical probability of rolling a 3: 1/6