A pair of fair dice is tossed. Define the events A and B as follows. Complete parts a through d below. A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to 4.) B: {At least one of the two dice is showing a 3} Identify the sample points in the event A U B. Choose the correct answer below. O A. AUB= {(1,1),(1,2),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} B. AUB= {(1,3),(3,1)} C. AUB= {(1,3),(2,3),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)} D. AUB={(1,3),(2,2),(2,3).(3,1).(3,2).(3,3).(3,4),(3,5),(3,6),(4,3).(5,3),(6,3)} Identify the sample points in the event A°. Choose the correct answer below. O A. AC = {(1,3),(3,1)} B. A° = {(1,3),(2,2),(3,1)} O C. A° = {(1,3).(2,2),(2,3),(3,1),(3,2).(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)} D. A° = {(1,1).(1,2),(1,4).(1,5),(1,6),(2,1),(2,3),(2,4),(2,5).(2,6).(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1).(5,2).(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} b. Find P(A), P(B), P(A N B), P(A U B), and P(A°) by summing the probabilities of the appropriate sample points. Since the probability of each sample point in A is and there is/are sample point(s) in A, P(A) =. %3D (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in B is and there is/are sample point(s) in B, P(B) = (Simplifv vour answers. Tvpe inteaers or fractions.)

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A pair of fair dice is tossed. Define the events A and B as follows. Complete parts a through d below.
A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to 4.)
B: {At least one of the two dice is showing a 3}
Identify the sample points in the event A U B. Choose the correct answer below.
O A. AUB= {(1,1),(1,2),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
B. AUB= {(1,3),(3,1)}
C. AUB= {(1,3),(2,3),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)}
D. AUB={(1,3),(2,2),(2,3).(3,1).(3,2).(3,3).(3,4),(3,5),(3,6),(4,3).(5,3),(6,3)}
Identify the sample points in the event A°. Choose the correct answer below.
O A. AC
= {(1,3),(3,1)}
B. A° = {(1,3),(2,2),(3,1)}
O C. A° = {(1,3).(2,2),(2,3),(3,1),(3,2).(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)}
D. A° = {(1,1).(1,2),(1,4).(1,5),(1,6),(2,1),(2,3),(2,4),(2,5).(2,6).(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1).(5,2).(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
b. Find P(A), P(B), P(A N B), P(A U B), and P(A°) by summing the probabilities of the appropriate sample points.
Since the probability of each sample point in A is
and there is/are
sample point(s) in A, P(A) =.
%3D
(Simplify your answers. Type integers or fractions.)
Since the probability of each sample point in B is and there is/are
sample point(s) in B, P(B) =
(Simplifv vour answers. Tvpe inteaers or fractions.)
Transcribed Image Text:A pair of fair dice is tossed. Define the events A and B as follows. Complete parts a through d below. A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to 4.) B: {At least one of the two dice is showing a 3} Identify the sample points in the event A U B. Choose the correct answer below. O A. AUB= {(1,1),(1,2),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} B. AUB= {(1,3),(3,1)} C. AUB= {(1,3),(2,3),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)} D. AUB={(1,3),(2,2),(2,3).(3,1).(3,2).(3,3).(3,4),(3,5),(3,6),(4,3).(5,3),(6,3)} Identify the sample points in the event A°. Choose the correct answer below. O A. AC = {(1,3),(3,1)} B. A° = {(1,3),(2,2),(3,1)} O C. A° = {(1,3).(2,2),(2,3),(3,1),(3,2).(3,3),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3)} D. A° = {(1,1).(1,2),(1,4).(1,5),(1,6),(2,1),(2,3),(2,4),(2,5).(2,6).(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2).(4,3),(4,4),(4,5),(4,6),(5,1).(5,2).(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} b. Find P(A), P(B), P(A N B), P(A U B), and P(A°) by summing the probabilities of the appropriate sample points. Since the probability of each sample point in A is and there is/are sample point(s) in A, P(A) =. %3D (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in B is and there is/are sample point(s) in B, P(B) = (Simplifv vour answers. Tvpe inteaers or fractions.)
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