Home » » What is the probability that an integer x $$(1 \leq x \leq 25)$$ chosen at rando...

# What is the probability that an integer x $$(1 \leq x \leq 25)$$ chosen at rando...

### Question

What is the probability that an integer x $$(1 \leq x \leq 25)$$ chosen at random is divisible by both 2 and 3?

### Options

A) $$\frac{1}{25}$$

B) $$\frac{1}{5}$$

C) $$\frac{4}{25}$$

D) $$\frac{3}{4}$$

### Explanation:

$$(1 \leq x \leq 25)$$ = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
Number N of x divisible by both 2 and 3 is 4.
n($$\varepsilon$$) = 25
= $$\frac{N}{n(\varepsilon)}$$
= $$\frac{4}{25}$$

## Dicussion (1)

• $$(1 \leq x \leq 25)$$ = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
Number N of x divisible by both 2 and 3 is 4.
n($$\varepsilon$$) = 25
= $$\frac{N}{n(\varepsilon)}$$
= $$\frac{4}{25}$$