What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?
-
A.
(frac{7}{10}) -
B.
(frac{3}{5}) -
C.
(frac{4}{5}) -
D.
(frac{3}{10})
Correct Answer: Option B
Explanation
Simple Space: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10 = 10)
Prime: (2, 3, 5, 7)
multiples of 3: (3, 6, 9)
Prime or multiples of 3: (2, 3, 5, 6, 7, 9 = 6)
Probability = (frac{6}{10})
= (frac{3}{5})