MATH SOLVE

10 months ago

Q:
# Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.Number Cube NumberObserved Frequency118216324426516620How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?The experimental probability of rolling a 3 is mc011-1.jpg greater than the theoretical probability of rolling a 3.The experimental probability of rolling a 3 is mc011-2.jpg less than the theoretical probability of rolling a 3.The experimental probability of rolling a 3 is mc011-3.jpg greater than the theoretical probability of rolling a 3.The experimental probability of rolling a 3 is mc011-4.jpg less than the theoretical probability of rolling a 3.

Accepted Solution

A:

Answer:The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3Step-by-step explanation:* Lets explain the difference between the theoretical probability and experimental probability- Theoretical probability is what we expect to happen- Experimental probability is what actually happens when we try it out- Both of them calculated by the same way, the number of possible ways an outcome can occur divided by the total * Lets solve the problem - The table has two column;# Number Cube # Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 Total 120∵ The experimental probability of rolling a 3 = 24/120 = 1/5 = 0.2∴ The experimental probability of rolling a 3 = 0.2 = 20%∵ The theoretical probability of rolling a 3 = 1/6∴ The theoretical probability of rolling a 3 = 0.1666 ≅ 17%∵ 20% is greater than 17%∴ The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3