Question 1195176
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Sorry you have to put up with the idiotic responses from some tutors on this site....<br>
Your SINGLE problem contains four questions, all of which are interrelated; the post HAS TO contain all four questions.  It would be absurd to post the 4 questions in your post separately!<br>
a. P(3 or 4) on first roll = 2/6 = 1/3
P(odd on second roll = 3/6 = 1/2
P((3 or 4 on first) AND (odd on second)) = (1/3)(1/2) = 1/6<br>
b. P(sum at most 7) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7) = (1/36)+(2/36)+(3/36)+(4/36)+(5/36)+(6/36) = 21/36 = 7/12<br>
c. The events are not mutually exclusive -- it is possible to get a 3 or 4 on the first roll and get a sum of at most 7 on the two rolls.<br>
d. The events are independent.  The probability of getting a sum of at most 7 on the two dice is not affected by the probability of getting a 3 or 4 on the first roll; and vice versa.<br>
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Dear idiot tutor @ikleyn --<br>
Your answer was NOT right; you didn't even answer the question!!!<br>
And it WAS idiotic to say that the original post shouldn't have included four different questions, because they were all part of one problem.<br>
When, oh when, will you learn not to be such an arrogant pain in the butt?<br>