Kira rolled a number cube 200 times and got the following results
Outcome rolled: 1, 2, 3, 4, 5, 6
Number of rolls: 35, 27, 38, 37, 30, 33
From kira's results compute the experimental probability of rolling a one or five round your answer to the nearest thousands
To find the experimental probability of rolling a one or five, we add the number of rolls for each outcome (1 and 5) and divide it by the total number of rolls:
Experimental probability = (Number of rolls for outcome 1 + Number of rolls for outcome 5) / Total number of rolls
Number of rolls for outcome 1 = 35
Number of rolls for outcome 5 = 30
Total number of rolls = sum of all the rolls = 35 + 27 + 38 + 37 + 30 + 33 = 200
Experimental probability = (35 + 30) / 200
Experimental probability = 65 / 200
Experimental probability ≈ 0.325
Rounded to the nearest thousandth, the experimental probability of rolling a one or five is approximately 0.325.
Assuming that the cube is fair compute the theoretical probability of rolling a one or five
Assuming that the cube is fair, each outcome (1, 2, 3, 4, 5, 6) has an equal likelihood of occurring. Therefore, the theoretical probability of rolling a one or five is the sum of the probabilities of rolling each outcome.
The probability of rolling a one is 1/6, as there is only 1 possible outcome of rolling a one and 6 possible outcomes in total.
The probability of rolling a five is also 1/6, as there is only 1 possible outcome of rolling a five and 6 possible outcomes in total.
To find the theoretical probability of rolling a one or five, we add the probabilities of rolling each outcome:
Theoretical probability = Probability of rolling a one + Probability of rolling a five
Theoretical probability = 1/6 + 1/6
Theoretical probability = 2/6
Theoretical probability = 1/3
Therefore, the theoretical probability of rolling a one or five is 1/3.
Round your answer to the nearest 7 thousands
The theoretical probability of rolling a one or five is 1/3.
Rounded to the nearest 7 thousandths, the theoretical probability of rolling a one or five is approximately 0.333.
If the theoretical probability of rolling a one or five is one third round your answer to the nearest thousandths
The theoretical probability of rolling a one or five is 1/3.
Rounded to the nearest thousandths, the theoretical probability of rolling a one or five is approximately 0.333.