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Martin has a spinner that is divided into four sections labeled A, B, C, and D. He spins the spinner twice. PLEASE ANSWER BOTH RIGHT HELP EASY THANK UU

Question 1
Part A
Drag the letter pairs into the boxes to correctly complete the table and show the sample space of Martin's experiment.


Question 2
Part B

If Martin repeats this experiment 400 times, how many times should he expect to spin C and then A?

Enter the correct answer in the box.

Martin has a spinner that is divided into four sections labeled A, B, C, and D. He-example-1

1 Answer

2 votes

Each cell in the table represents a possible outcome of spinning the spinner twice. For example, the outcome of spinning A on the first spin and C on the second spin is represented by the cell in the second row and third column (A, C).

Part B:

To find how many times Martin should expect to spin C and then A in 400 trials, we need to determine the probability of spinning C on the first spin and A on the second spin.

From the table in part A, we can see that there are 16 possible outcomes, and that C is one of the four possible outcomes on the first spin. Therefore, the probability of spinning C on the first spin is 4/16 = 1/4.

Once C is spun on the first spin, there are three possible outcomes left for the second spin, and one of those outcomes is A. Therefore, the probability of spinning A on the second spin, given that C was spun on the first spin, is 1/3.

To find the probability of spinning C and then A, we multiply the probabilities of spinning C on the first spin and A on the second spin. That is:

P(C and A) = P(C) x P(A given C)

= (1/4) x (1/3)

= 1/12

Therefore, the expected number of times Martin should spin C and then A in 400 trials is:

Expected number of times = P(C and A) x number of trials

= (1/12) x 400

= 33.33

Therefore, Martin should expect to spin C and then A about 33 times in 400 trials.

User Steve Wranovsky
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