Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4?
\(\frac{1}{4}\)
\(\frac{4}{4}\)
\(\frac{6}{4}\)
\(\frac{7}{4}\)
\(\frac{37}{149}\)
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We are given that Bola chooses a number at random between 1 and 300. We are to find the probability that the number is divisible by 4.
Step 1: Total number of possible outcomes
The numbers Bola can choose from are from 1 to 300 inclusive, so there are:
300 total no
Step 2: Count how many of these are divisible by 4
A number is divisible by 4 if it can be written as:
4n for some integer n
We want all such numbers between 1 and 300.
The smallest is:
4*1=4
The largest is:
4*75=300
So, there are 75 numbers divisible by 4.
Step 3: Compute the probability
probabilty=favourable outcomes/total outcome
=75/100=1/4
Final Answer:
A. 1/4
