A standard six-sided die was rolled 100 times during a probability experiment, and the out… — JAMB UTME

A standard six-sided die was rolled $100$ times during a probability experiment, and the outcome $4$ was recorded $25$ times. What is the experimental probability of rolling a $4$ ?

$\frac{1}{4}$ Answer
B
$\frac{1}{6}$
C
$\frac{3}{4}$
D
$\frac{1}{25}$

Answer

The experimental probability of rolling a

4

\frac{1}{4}

The experimental probability of an event is calculated by taking the ratio of the number of times the event occurs to the total number of trials performed. Since the outcome

4

appeared

25

times out of

100

rolls, the experimental probability is

\frac{25}{100}

, which simplifies directly to

\frac{1}{4}

Step-by-Step Solution

Identify the number of favorable trials and total trials

Favorable trials (rolling a

4

) =

25

; Total trials =

100

Experimental probability depends on empirical data collected during the experiment.

Apply the experimental probability formula:

P(E) = \frac{\text{Frequency of Event}}{\text{Total Number of Trials}}

P(\text{rolling a } 4) = \frac{25}{100}

The experimental probability is defined as the relative frequency of the outcome.

Simplify the fraction to its lowest terms

\frac{25}{100} = \frac{1}{4}

Dividing both the numerator and denominator by their greatest common divisor,

25

, gives the simplified fraction.

Key Concept

Experimental Probability

Question

Answer

Step-by-Step Solution

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