Que: A 6-sided die is biased. Now, the numbers one to four are equally likely to happen, but five and six is thrice as likely to land face up as each of the other numbers. If X is the number shown on the uppermost face, determine the expected value of X when 6 is shown on the uppermost face.

a. \(\frac{13}{4}\)
b. \(\frac{3}{5}\)
c. \(\frac{2}{7}\)
d. \(\frac{21}{87}\)
Answer: \(\frac{13}{4}\)

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