Question

A number cube is tossed 60 times.

Outcome | Frequency

1 | 12

2 | 13

3 | 11

4 | 6

5 | 10

6 | 8


Determine the experimental probability of landing on a number less than 2.

A. 35 over 60

B. 25 over 60

C. 13 over 60

D. 12 over 60

Answer 1

`\sf D. \quad (12)/(60)`

Explanation:

Experimental probability is based on the actual results of an experiment.

Theoretical probability is based on possible outcomes based on assumptions.

Experimental probability

Calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

`\boxed{\textsf{Experimental Probability} = \frac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}}`

From inspection of the given table, the actual results (frequency) of landing on a number less than 2 is 12.

The total number of trials is 60.

Therefore:

`\sf \implies P(x < 2)=(12)/(60)`

Answer 2

• D. 12 over 60

----------------------------

Total number of frequencies:

• 12 + 13 + 11 + 6 + 10 + 8 = 60

Number of frequencies with the outcome of less than 2:

• 12 of 1's

Probability of a number less than 2:

• Probability = favorable outcomes / total outcomes
• P = 12/60 = 1/5 or 20%

The matching choice is D.