Find the probability of
obtaining a multiple of 3 from a
number chosen randomly by a
student from the integers
between 1 and 20 inclusive
A. 2/7
B.3/7
C. 3/10
D. 2/9
To find the probability of obtaining a multiple of 3, we need to determine how many numbers between 1 and 20 inclusive are multiples of 3.
The multiples of 3 between 1 and 20 are: 3, 6, 9, 12, 15, and 18.
There are 6 numbers that are multiples of 3.
Therefore, the probability is 6/20 = 3/10.
The answer is C. 3/10.
To find the probability of obtaining a multiple of 3 from a number chosen randomly from the integers between 1 and 20 inclusive, we need to determine how many numbers in that range are divisible by 3.
The integers that are divisible by 3 in that range are:
3, 6, 9, 12, 15, 18
Counting these numbers, we find that there are a total of 6 numbers that are divisible by 3.
Now, we need to find the total number of integers in the range 1 to 20 inclusive.
The total number of integers in that range is 20.
Therefore, the probability of obtaining a multiple of 3 is the number of favorable outcomes (i.e., the number of integers divisible by 3) divided by the total number of possible outcomes (i.e., the total number of integers in the range).
So, the probability is 6/20, which simplifies to 3/10.
Therefore, the correct answer is option C: 3/10.