Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube numbered 1 to 6. He rolls the number cube 8 times and records the results in this table.4 2 5 35 6 1 4Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.Actually happenedwe expect to happen1/31/41/6The theoretical probability of rolling a number smaller than a 3 is _______because this is what_______ . The experimental probability of rolling a number smaller than a 3 is ______ because this is what_______ .
Accepted Solution
A:
Answer:The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____ Step-by-step explanation:The experimental probability is P (<3) = ( getting a one or 2)/ number of times that he rolled He rolled a one or a two 2 times of the 8 times rolled = 2/8 = 1/4Theoretical probability is what we expect happenP (<3) = (getting a one or two) / 6 = 2/6 = 1/3The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____