Question

When a die is thrown 10 times, the following outcomes are noted

1, 3, 2, 1, 5, 6, 3, 4, 1, 5

S1: The empirical probability of getting a 1 is $\frac{1}{6}$

S2: The theoretical probability of getting a 1 is $\frac{1}{6}$

• A. S1 and S2 are false
• B. S1 and S2 are true
• C. S1 is false and S2 is true
• D. S1 is true and S2 is false

Answer 1

The correct option is C

S1 is false and S2 is true

Empirical probability = $\frac{numberoftrialsinwhichtheeventhappened}{totalnumberoftrials}$ = $\frac{3}{10}$ = 0.3

Theoretical probability = $\frac{numberofoutcomesfavourabletoevent}{totalnumberofpossibleoutcomes}$ = $\frac{1}{6}$ = 0.167