A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?
A.
2/15
B.
1/10
C.
1/3
D.
2/5
Correct Answer: 1/3
Explanation
Sample space S = {10, 11, 12, ... 30}
Let E denote the event of choosing a number divisible by 3
Then E = {12, 15, 18, 21, 24, 27, 30} and n(E) = 7
Prob (E) = n(E)/n(S)
Prob (E) = 7/21
Prob (E) = 1/3
Sample space S = {10, 11, 12, ... 30}
Let E denote the event of choosing a number divisible by 3
Then E = {12, 15, 18, 21, 24, 27, 30} and n(E) = 7
Prob (E) = n(E)/n(S)
Prob (E) = 7/21
Prob (E) = 1/3