Quinta is rolling a dice and keeping track of the number she gets on each roll. The table below summarizes her results.%0D%0A%0D%0ARolling a Dice%0D%0ANumber%09Frequency%0D%0A1%0915%0D%0A2%0917%0D%0A3%0914%0D%0A4%0916%0D%0A5%0915%0D%0A6%0914%0D%0A %0D%0A%0D%0AWhat are the experimental and theoretical probabilities of rolling the number 4? Round your answer to the nearest thousandth.%0D%0A%0D%0AExperimental probability %0D%0A=%0D%0A

Question

Quinta is rolling a dice and keeping track of the number she gets on each roll. The table below summarizes her results.%0D%0A%0D%0ARolling a Dice%0D%0ANumber%09Frequency%0D%0A1%0915%0D%0A2%0917%0D%0A3%0914%0D%0A4%0916%0D%0A5%0915%0D%0A6%0914%0D%0A %0D%0A%0D%0AWhat are the experimental and theoretical probabilities of rolling the number 4? Round your answer to the nearest thousandth.%0D%0A%0D%0AExperimental probability %0D%0A=%0D%0A

Answer 1

Experimental probability = Frequency of rolling 4 / Total number of rolls

Experimental probability = 16 / (15 + 17 + 14 + 16 + 15 + 14)
Experimental probability = 16 / 91
Experimental probability ≈ 0.176

Theoretical probability of rolling a 4 on a fair dice is 1/6 = 0.167

Therefore, the experimental probability of rolling the number 4 is approximately 0.176, while the theoretical probability is 0.167.