hi. please please help me with my math homework please respond as soon as possible please

Question

Question 1: What is the probability of randomly selecting a prime number from the first 30 natural numbers?      

 

A.) 13/30 ≈ 43.33%

B.) 1/3 ≈ 33.33%

C.) 11/30 ≈ 36.67%

D.) 12/30 = 40%

  

 

Question 2: In a quiz program, 2 questions on Science, 4 questions on History, and 4 questions on Math are printed separately on 10 cards and placed upside down. Maria is asked to select 2 cards at random. What is the probability of Maria selecting 2 questions on Science?

A.) 1/45

B.) 1/5

C.) 2/5

D.) 2/15

help me please

Answer 1

Question 1:

Prime numbers: 1, 3, 5, 7, 11, 13, 17, 19, 23, 29

Probability = 10/30=1/3=33.33%

Question 2:

1st card 2nd card

2/10 x 1/9 = 2/90= 1/45

The reason is because there are 2 science cards out of the 10 the first time around. But then there's only 1 science card left with only 9 cards left.

Answer 2

So, the first 30 natural numbers are:

1, 2, 3, 4, 5, 6, 7, ....., 29, 30

How many of these numbers are prime numbers?

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

There are 10 prime numbers in the first 30 natural numbers, so the probability is 10 out of 30 or 1/3. That is equal to 33.33%, so the correct answer is B