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Construct a probability model for the following experiment. Spinning three spinn

ID: 3116851 • Letter: C

Question

Construct a probability model for the following experiment. Spinning three spinners shown below Determine the sample space S. Use the given letters to denote the outcomes for the spinners. For example, ACP would represent the outcome of the first spinner landing on region A, the second spinner landing on region C, and the third spinner landing on region P S- (Use a comma to separate answers as needed.) Assign a probability to each element of the sample space. Type one probability for each event in the previous step. in any order, if the events have varying probabilities Select the correct choice below and fill in the answer box within your choice. A. The events are equally likely, and the probability of each is (Use a comma to separate answers as needed. Type each answer only once.)

Explanation / Answer

The Sample space is given by

S= {ACP,ACQ,ADP,ADQ,BCP,BCQ,BDP,BDQ}

Where

A- Outcome of first spinner landing in Region A

B- Outcome of first spinner landing in Region B

C- Outcome of second spinner landing in Region C

D- Outcome of second spinner landing in Region D

P- Outcome of third spinner landing in Region P

Q- Outcome of tird spinner landing in Region Q

Each Event in the sample space id 1/8

A.) All the events are equally likely with Probability 1/2