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A six-sided die has two sides numbered with a 1, three sides numbered with a 2,

ID: 3112140 • Letter: A

Question

A six-sided die has two sides numbered with a 1, three sides numbered with a 2, and one side that is blank (0). What is the expected value of a die roll with this die? Enter your answer as a number, rounded to two decimal places, if necessary, like this: 42.53 A farmer planted 30 seeds of green beans, and 24 of them spouted into full plants successfully. What is the experimental probability that the next green bean seed he plants will not sprout into a full plant? Enter your answer as fraction in simplest terms. For example, if your answer is, which reduces to enter it like this: 3/4

Explanation / Answer

Expected Value = Probability X Outcome

Probability that 1 will come on the dice is 2/6 because total outcome is 6.

Probability that 2 will come on the dice is 3/6 because three side carries number 2.

Expected Value = 2/6 X (1) + 3/6 X (2) + 1/6 X (0) = 1/3 + 1 = 4/3 = 1.33