Question

g.pr.10.8 (mc)

a game is played where you roll a fair 6-sided die and spin a spinner with the numbers 1-3, then find the sum. which event has the highest expected value?

probability distribution for the sum of a 6-sided die and a spinner 1-3

accessible description

3

9

8

7

Explanation:

Calculate the expected value of the 6-sided die

$$ E(\text{Die}) = \frac{1+2+3+4+5+6}{6} = 3.5 $$

Calculate the expected value of the 1-3 spinner

$$ E(\text{Spinner}) = \frac{1+2+3}{3} = 2.0 $$

Calculate the expected value of the sum

$$ E(\text{Sum}) = E(\text{Die}) + E(\text{Spinner}) = 3.5 + 2.0 = 5.5 $$

Answer:

• 3
• 9
• 8
• 7 (Correct answer)