Question

1. find the theoretical probability of landing on black if you spin the spinner.

a) 0% b) 100%
c) 50% d) 25%

1. what is the theoretical probability of picking a vowel from the letters a, b, c, d, and e?

a) $\frac{2}{5}$ b) $\frac{2}{3}$
c) $\frac{1}{5}$ d) 25%

1. find the experimental probability:

roll dice: 1, 3, 3, 4, 4
p(1) =
a) $\frac{3}{5}$ b) $\frac{1}{6}$
c) $\frac{2}{5}$ d) $\frac{1}{5}$

1. find the experimental probability:

roll dice: 1, 3, 3, 4, 4
p(3) =
a) $\frac{3}{5}$ b) $\frac{1}{6}$
c) $\frac{2}{5}$ d) $\frac{1}{3}$

1. experimental probability is:

a) what will happen b) what actually happens
c) what should happen d) what i think happens

Explanation:

Step1: Count total spinner sections

Count: 8 total equal sections

Step2: Count black spinner sections

Count: 2 black sections

Step3: Calculate black probability

$\text{Probability} = \frac{\text{Black sections}}{\text{Total sections}} = \frac{2}{8} = 0.25 = 25\%$

Step4: Identify vowels in A,B,C,D,E

Vowels: A, E (2 total)

Step5: Calculate vowel probability

$\text{Probability} = \frac{\text{Vowels}}{\text{Total letters}} = \frac{2}{5}$

Step6: Count total dice rolls

Count: 5 total rolls

Step7: Count 1s in dice rolls

Count: 1 occurrence of 1

Step8: Calculate P(1)

$\text{Probability} = \frac{\text{Number of 1s}}{\text{Total rolls}} = \frac{1}{5}$

Step9: Count 3s in dice rolls

Count: 2 occurrences of 3

Step10: Calculate P(3)

$\text{Probability} = \frac{\text{Number of 3s}}{\text{Total rolls}} = \frac{2}{5}$

Step11: Define experimental probability

Experimental probability uses actual observed results.

Answer:

1. d) 25%
2. a) 2/5
3. d) 1/5
4. c) 2/5
5. b) What actually happens