Question

What is the probability of getting a factor of 6 when u have this numbers 1,2,3,4,5, and 6

Answer 1

the factors of 6 would be 1, 6, 2, and 3. so that's 4 out of 6, 4/6. that can be reduced to 2/3.

Answer 2

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

P=size of the event space/size of the sample space

step $1$

Find the factors of the number $6$

$6=1*2*3\\ Factors=1,2,3,6$

In this problem

size of the sample size=$6$

size of the event space=$4$

$P =\frac{4}{6} =\frac{2}{3}$

therefore

the answer is

The probability is equal to $\frac{2}{3}$