Question

select the correct answer from each drop - down menu.
blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.
the probability of picking an odd prime number is

. the probability of picking a number greater than 0 that is also a perfect square is

.
3/10
1/5
1/3
2/5
1/2
reset next

Explanation:

Step1: Identify odd prime numbers between 0 - 9

Odd prime numbers: 3, 5, 7. So there are 3 such numbers. Total numbers: 10 (0 - 9). Probability = $\frac{3}{10}$.

Step2: Identify perfect squares > 0 between 0 - 9

Perfect squares > 0: 1, 4, 9. So there are 3 such numbers. Total numbers: 10. Probability = $\frac{3}{10}$ (Wait, but let's check again. Wait, 1, 4, 9 are perfect squares >0. So 3 numbers. So probability is $\frac{3}{10}$? Wait, but let's re - evaluate the first part. Wait, odd primes between 0 - 9: 3,5,7. So 3 numbers. So probability is $\frac{3}{10}$. For the second part, numbers greater than 0 and perfect squares: 1,4,9. So 3 numbers. So probability is $\frac{3}{10}$? Wait, but let's check the first drop - down. The first question is about odd prime numbers. Let's list numbers from 0 - 9: 0,1,2,3,4,5,6,7,8,9. Prime numbers are 2,3,5,7. Odd primes are 3,5,7 (since 2 is even). So number of odd primes = 3. Total numbers = 10. So probability = $\frac{3}{10}$. For the second part, numbers greater than 0 and perfect squares: 1 ($1^2$), 4 ($2^2$), 9 ($3^2$). So 3 numbers. So probability is $\frac{3}{10}$. But let's check the options. Wait, maybe I made a mistake in the second part? Wait, no. Wait, 1 is a perfect square (1 = 1×1), 4 = 2×2, 9 = 3×3. So three numbers. So probability is $\frac{3}{10}$. But let's check the first drop - down options. The first drop - down has 3/10 as an option. So for the first blank, the answer is 3/10. For the second blank, also 3/10? Wait, but let's confirm.

Wait, maybe I made a mistake in the odd prime count. Wait, prime numbers between 0 - 9: 2,3,5,7. Odd primes: 3,5,7. So 3 numbers. So probability is 3/10. For the second part, numbers greater than 0 and perfect squares: 1,4,9. So 3 numbers. So probability is 3/10.

Answer:

First drop - down: 3/10
Second drop - down: 3/10