A number cube is rolled 160 times the number 2 comes up 39 times what is the experiential probability of rolling a 2 what is the theoretical probability of rolling a 2
1. 39/160 ; 1/80
2. 1/6 ; 39/160
3. 39/160 ; 1/6
4. 121/160 ; 1/6
1. 39/160 ; 1/80
Explanation:
Experimental probability is the ratio of the number of times an event occurs to the total number of trials or observations. Here, out of 160 rolls of the number cube, the number 2 comes up 39 times. So, the experimental probability of rolling a 2 is:
Experimental probability = Number of times 2 comes up / Total number of rolls
= 39/160
Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes, assuming that all outcomes are equally likely. Since there are 6 equally likely outcomes when rolling a number cube (1, 2, 3, 4, 5, or 6), the theoretical probability of rolling a 2 is:
Theoretical probability = Number of favorable outcomes / Total number of possible outcomes
= 1/6
Therefore, the answer is option 1. 39/160 for experimental probability and 1/80 for theoretical probability.
The correct answer is 3.
The experimental probability of rolling a 2 is found by dividing the number of times a 2 came up by the total number of rolls.
39/160
The theoretical probability of rolling a 2 is found by dividing the number of successful outcomes by the total number of possible outcomes.
There is only 1 way to roll a 2 on a number cube, and there are 6 possible outcomes in total.
So the theoretical probability of rolling a 2 is:
1/6