If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than once, what is the probability that sum of the three prime numbers selected will be even? a) 10%b) 27%c) 30%d) 36.5%e) 42%

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)=

Probability of getting sum of three prime numbers selected will be odd=

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)=

Probability of getting sum of three prime numbers selected will be odd=P(E)=

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3=%

By using formula P(E')=1-P(E)

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have