Yahtzee is a game where five dice are put into a cup, shaken and rolled. Assume

Question

Yahtzee is a game where five dice are put into a cup, shaken and rolled. Assume that you only roll each of the dice once, and use this information to answer Questions 3a through 3d. Additional information about Yahtzee can be found here: https://www.youtube.com/watch?v=AHDgpuEzopc

3a)  What is the probability that you roll all even numbers? (Four decimal place)

3b) Which of the following scenarios is described in question 3a? (CHOOSE ONE)
i) Event
ii) Sample Space
iii) Outcome
iv) None of the above

3c) What is the probability that you roll all ones? (Four decimal places)

3d) A Yahtzee occurs when the numbers on all five dice are the same (e.g., five ones or five twos). What is the probability that you roll a Yahtzee? (Four decimal places)

Explanation / Answer

Solution

(a) P(roll even numbers) = (3/6)5 = 0.0313 (as one die = 3 even numbers i.e. 2,4,6)

(b) event (OPTION (i))

(c) P(all ones) = (1/6)5 = 0.0001

(d) P(Yahtzee) = P(all one) + P(all two)+......+P(all six) = 5*(1/6)5 = 0.0006

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