For the following exercises, use the spinner in Figure 1. Construct a probability model showing each possible outcome and its associated probability. (Use the first letter for colors.)

For the following exercises, use the spinner in Figure 1.

Construct a probability model showing each possible outcome and its associated probability. (Use the first letter for colors.)

Solutions

Expert Solution

Consider the spinner given in the text book. The spinner consists of seven colored sections and each section is labeled by a number.

2 sections are colored by blue (B), 1 section is colored by purple (P), 1 section is colored by green (G), 1 section is colored by red (R), 1 section is colored by orange (O) and 1 section is colored by yellow (Y).

The possible outcomes are the colors and numbers of the different sections:

S = {B1, P2, G3, B4, R5, O6, Y7}

There are 7 possible outcomes that make up the sample space.

Assign probability to each outcome by determining a ratio of the outcome to the total number of outcomes.

So, probability of landing on a blue color and number 1 will be

P(B1) = 1/7

Probability of landing on purple color will be

P(P2) = 1/7

Probability of landing on green color will be

P(G3) = 1/7

Probability of landing on a blue color and number 4 will be

P(B4) = 1/7

Probability of landing on red color will be

P(R5) = 1/7

Probability of landing on orange color will be

P(O6) = 1/7

And, probability of landing on yellow color will be

P(Y7) = 1/7

Therefore, the probability model of given experiment will be,

Outcome	B1	P2	G3	B4	R5	O6	Y7
Probability	1/7	1/7	1/7	1/7	1/7	1/7	1/7

Junaid answered 1 year ago

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