Question

basic probability
name: ashley
use each diagram to solve the problems.

1. if you spun the spinner 1 time, what is the probability it would land on a black piece?
2. if you spun the spinner 1 time, what is the probability of landing on either a black piece or a white piece?
3. if you spun the spinner 1 time, what is the probability it would land on a gray piece?
4. if you spun the spinner 1 time, what is the probability it would land on a white piece?
5. how many pieces are there total in the spinner?
6. if you were to roll the dice one time what is the probability it will not land on a 1?
7. if you were to roll the dice one time what is the probability it will land on a 4?
8. if you were to roll the dice one time, what is the probability of it landing on an odd number?
9. which shape has a 40.00% chance (8 out of 20) of being selected?
10. if you were to select 1 shape at random from the array, what shape do you have the greatest probability of selecting?
11. if you were to select 1 shape at random from the array, what is the probability it will be a diamond?
12. how many shapes are there total in the array?

Explanation:

Step1: Count spinner pieces

Total pieces: 8 (visual check)

Step2: Count black pieces

Black pieces: 2 (visual check)

Step3: Calculate black probability

Probability = $\frac{2}{8} = \frac{1}{4}$

Step4: Count white pieces

White pieces: 3 (visual check)

Step5: Calculate black+white probability

Black+white pieces: 2+3=5 → Probability = $\frac{5}{8}$

Step6: Count gray pieces

Gray pieces: 3 (visual check)

Step7: Calculate gray probability

Probability = $\frac{3}{8}$

Step8: Calculate white probability

Probability = $\frac{3}{8}$

Step9: Confirm total spinner pieces

Total = 8 (visual check)

Step10: Dice total outcomes

Dice sides: 6

Step11: Non-1 outcomes

Non-1: 5 → Probability = $\frac{5}{6}$

Step12: Dice 4 outcomes

4:1 → Probability = $\frac{1}{6}$

Step13: Odd dice numbers

Odds:1,3,5 → 3 → Probability = $\frac{3}{6} = \frac{1}{2}$

Step14: Count array shapes

Total shapes:20 (visual check:8 diamonds,9 stars,1 circle,2 others? No—9: 40%=8/20 → 8 diamonds)

Step15: 40% shape (8/20)

Diamonds (8) → 40%

Step16: Most frequent shape

Stars:9 (most)

Step17: Diamond probability

Diamonds:8 → Probability = $\frac{8}{20} = \frac{2}{5}$

Step18: Total array shapes

Total=20 (visual check)

Answer:

1. $\frac{1}{4}$
2. $\frac{5}{8}$
3. $\frac{3}{8}$
4. $\frac{3}{8}$
5. 8
6. $\frac{5}{6}$
7. $\frac{1}{6}$
8. $\frac{1}{2}$
9. Diamond
10. Star
11. $\frac{2}{5}$
12. 20