7. Murray spins the pointer of the spinner shown at the right a. What is the sample space for the probability model?
b. What is the probability of each event in the sample space?

a)

Sample Space of Probability model is - S' = { , , , }

b)

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

Step-by-step explanation:

Given - Murray spins the pointer of the spinner as shown .

To find - a. What is the sample space for the probability model?

              b. What is the probability of each event in the sample space?

Proof -

The Sample space is the set of all possible outcomes.

So,

Sample space becomes -

S = { 3, 5, A, Y, 3, 5, A, Y}

Total number of outcomes, n(S) = 8

Now,

We can see that There are 4 types of event

Event 1 : 3

Event 2 : 5

Event 3 : A

Event 4 : Y

So,

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

Now,

Sample Space of Probability model is -

S' = { , , , }

∴ we get

a)

Sample Space of Probability model is - S' = { , , , }

b)

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.