Need help for part iv, v and vi Q2. A standard die is rolled twice ( remember that rolling a standard die is equivalent toselecting an integer from{ 1, 2, 3, 4, 5, 6 } uniformly at random.)Let A be the event that the first roll is 1, 2, 3 or 4.Let B be the event that the first roll is even.Let C be the event that the sum of the two rolls is 11 or 12. wl(i)Write down Pr(A), Pr(B), and Pr(C).(ii)Write down Pr(A intersect B), Pr(A intersect C), and Pr(B intersect C).(iii)Write down Pr(AUC) and Pr(BU C). odmun novomwon bai(iv)Write down whether A and B are independent events. oione(v)Write down whether A and C are independent events.mon novo lo aoa boobro ns woll(vi)Write down whether B and C are independent events.*******************************************

Here Given P(A)= Probability of appear 1,2,3,4 on first Roll P(B)= Probability Of Roll appears is…

Write down whether A and B are independent events.oione Write down whether A and C are independent events. Write down whether B and C are independent events. ***** **水水水水 *****

Write down whether A and B are independent events.oione Write down whether A and C are independent events. Write down whether B and C are independent events. * 水水水水 ***

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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Question

Need help for part iv, v and vi

Q2. A standard die is rolled twice ( remember that rolling a standard die is equivalent to
selecting an integer from
{ 1, 2, 3, 4, 5, 6 } uniformly at random.)
Let A be the event that the first roll is 1, 2, 3 or 4.
Let B be the event that the first roll is even.
Let C be the event that the sum of the two rolls is 11 or 12. wl
(i)
Write down Pr(A), Pr(B), and Pr(C).
(ii)
Write down Pr(A intersect B), Pr(A intersect C), and Pr(B intersect C).
(iii)
Write down Pr(AUC) and Pr(BU C). odmun nov
omwon bai
(iv)
Write down whether A and B are independent events. oione
(v)
Write down whether A and C are independent events.
mon novo lo aoa boobro ns woll
(vi)
Write down whether B and C are independent events.
*******************************************

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