Question

ma.7.dp.2.1: i can determine all possible outcom simple experiment is fair, and the sample space f

1. using the spinner to the right, determine (4 points)

part a: what is the sample space of the spinner the possibilities.
part b: how many outcomes are included in the an even number is chosen?
part c: write your explanation of the following:
this spinner is ∘ fair ∘ unfair because ________.
ma.7.dp.2.3: i can find the theoretical probability o

1. choose one: which of the following values could represent the probability of an event? (1 point)

a. -1
b. 0.05
c. 8/6
d. 225%

Explanation:

Question 2

Step1: Recall probability range

Probability of an event \( E \) is given by \( 0 \leq P(E) \leq 1 \) (or \( 0\% \leq P(E) \leq 100\% \) when expressed as a percentage).

Step2: Analyze each option

• Option a: \( -1 \) is less than \( 0 \), so it cannot be a probability.
• Option b: \( 0.05 \) is between \( 0 \) and \( 1 \), so it can be a probability.
• Option c: \( \frac{8}{6}=\frac{4}{3}\approx1.33 \), which is greater than \( 1 \), so it cannot be a probability.
• Option d: \( 225\% = 2.25 \), which is greater than \( 1 \) (or \( 100\% \)), so it cannot be a probability.

Answer:

b. 0.05