Joe is playing a game with a regular die. if the number that turns up is even he will gain 5 times the number that comes up. if it is odd, he will lose 10 times the number that comes up. he tosses a 3. express the results as an integer

Question

Mathematics

Aracely Bennett

13 October, 08:05

Joe is playing a game with a regular die. if the number that turns up is even he will gain 5 times the number that comes up. if it is odd, he will lose 10 times the number that comes up. he tosses a 3. express the results as an integer

+4

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Charlie Mccormick · Answer 1

Find the expected value of each case

1 comes up - - - > 1/6 (-10) = - 10/6

3 comes up - - - > 1/6 (-30) = - 30/6

5 comes up - - - > 1/6 (-50) = - 50/6

2 comes up - - - > 1/6 (10) = 10/6

4 comes up - - - > 1/6 (20) = 20/6

6 comes up - - - > 1/6 (30) = 30/6

sum = 1/6 (-10 - 30 - 50 + 10 + 20 + 30) = - 30/6 = - 5