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goldfiish [28.3K]
3 years ago
12

Nathan rolls a number cube and records the result of each roll in the table.

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

True statements:

A. The relative frequency of rolling  4 is \dfrac{2}{9}.

E. The experimental probability of rolling 1 is less than the experimental probability of rolling 6.

Step-by-step explanation:

Nathan made 11 + 16 + 14 + 20 + 12 + 17 = 90 rolls altogether. Consider all options:

A. The relative frequency of rolling  4 is

\dfrac{20}{90}=\dfrac{2}{9}.

This option is true.

B. The experimental probability of rolling 3 is \dfrac{14}{90}. The theoretical probability of rolling 3 is \dfrac{1}{6}=\dfrac{15}{90}. therefore, the experimental probability of rolling 3 is less than the theoretical probability. This option is false.

C. The experimental probability of rolling  2 is \dfrac{16}{90} and the theoretical probability of rolling  2 is \dfrac{1}{6}=\dfrac{15}{90}. The experimental probability of rolling  2 is smaller than the theoretical probability of rolling 2. Option C is false.

D. The relative frequency of rolling  5 is \dfrac{12}{90}=\dfrac{2}{15}\neq \dfrac{2}{13}. This option is false.

E. The experimental probability of rolling  1 is \dfrac{11}{90} and the experimental probability of rolling  6 is \dfrac{17}{90}. Since \dfrac{11}{90} then the experimental probability of rolling  1 is less than the experimental probability of rolling  6. This option is true.

F. The theoretical probability of rolling 1 is the same as the theoretical probability of rolling 6. This option is false.


dimulka [17.4K]3 years ago
6 0

Answer:

A and E

Step-by-step explanation:

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