A biased four-sided die numbered 1, 2, 3, and 4 is rolled 200 times in a probability exper… — JAMB UTME

A biased four-sided die numbered $1$ , $2$ , $3$ , and $4$ is rolled $200$ times in a probability experiment. The frequency of each outcome is recorded in the table below:

Outcome	Frequency
$1$	$45$
$2$	$60$
$3$	$55$
$4$	$40$

What is the experimental probability of rolling an odd number?

Answer: 0.5

Answer

0.5

The correct experimental probability is calculated by dividing the total frequency of observed odd outcomes (

45 + 55 = 100

) by the total number of trials (

200

), which gives

\frac{100}{200} = 0.5

Step-by-Step Solution

Identify the favorable outcomes for rolling an odd number

The odd outcomes on the die are

1

and

3

Odd numbers are integers that are not divisible by

2

Calculate the total frequency of the favorable outcomes

Frequency of

1

45

and frequency of

3

55

. Total frequency

= 45 + 55 = 100

The total number of times an odd number was rolled is the sum of the frequencies of outcome

1

and outcome

3

Compute the experimental probability

\text{Experimental Probability} = \frac{\text{Frequency of odd outcomes}}{\text{Total number of trials}} = \frac{100}{200} = 0.5

Experimental probability measures the relative frequency of an event occurring in an actual experiment.

Key Concept

Experimental Probability

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic