Answer: [tex]\dfrac{105}{208}[/tex]
Step-by-step explanation:
Given : Number of students who are very short = 45
Number of students who are short= 60
Number of students who are tall = 82
Number of students who are very tall= 21
Total students = [tex]45+60+82+21=208[/tex]
Then the number of students who are short or very short =45+60 =105
Now, the probability that a randomly selected student will be short or very short will be :-
[tex]\dfrac{\text{Number of students are short or very short }}{\text{Total students}}\\\\=\dfrac{105}{208}[/tex]
Hence, the probability that a randomly selected student will be short or very short =[tex]\dfrac{105}{208}[/tex]
The probability of the number of students to be selected randomly short or very short is 0.5048 or 50.48%.
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Number of students who are;
very short: 45,
short: 60,
tall: 82,
very tall: 21
The total number of students will be
Total sample = 45 + 60 + 82 + 21 = 208
The probability that a randomly selected student will be short or very short will be
Favorable sample = 45 + 60 = 105
Then the probability will be
[tex]\rm P = \dfrac{105}{208}\\\\P = 0.5048\\\\P = 50.48 \%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
